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Solve X 12 x - 3 3 || -12
The equation a = 28.55w + 118.7 expresses BSA for felines in terms of weight, where a is BSA in square inches and w is weight in pounds.(A) Interpret the slope of the BSA equation.(B) What is the
Solve and check:x + 1/3 – x/4 = 1/2
Graph 4x – 3y = 12 on a graphing calculator and find the intercepts.
A 100-pound cargo of delicate electronic equipment is dropped from an altitude of 2,880 feet and lands 200 seconds later.(A) Find a linear model relating altitude a (in feet) and time in the air t
Solve and check:x + 2/2 – x/3 = 5
A 400-pound load of grain is dropped from an altitude of 2,880 feet and lands 80 seconds later.(A) Find a linear model relating altitude a (in feet) and time in the air t (in seconds).(B) How fast is
Solve for x.9(4 – x) = 2(x + 7)
At sea level, the weight of the atmosphere exerts a pressure of 14.7 pounds per square inch, commonly referred to as 1 atmosphere of pressure. As an object descends in water, pressure P and depth d
If a cardboard box has length L, width W, and height H, then its surface area is given by the formula S = 2LW + 2LH + 2WH. Solve the formula for(A) L in terms of S, W, and H (B) H in terms of S, L,
Prices for round-shaped diamonds taken from an online trader are given in Table 1.(A) A linear model for the data in Table 1 is given bywhere p is the price of a diamond weighing c carats. (We will
(A) Graph x = 5 and y = –3 simultaneously in the same rectangular coordinate system.(B) Write the equations of the vertical and horizontal lines that pass through the point (–8, 2).
(A) Graph x = –4 and y = 6 simultaneously in the same rectangular coordinate system.(B) Write the equations of the vertical and horizontal lines that pass through the point (7, –5).
Replace each question mark with either < or >.(A) 2 ? 8 (B) –20 ? 0 (C) –3 ? –30
Table 3 contains information about the concentration of carbon dioxide (CO2) in the atmosphere. The linear regression model for the data is C = 360 + 2.04t where C is the concentration (in parts per
Find the slope of the line through each pair of points.(A) (–2, 4), (3, 4)(B) (–2, 4), (0, –4)(C) (–1, 5), (–1, –2) (D) (–1, –2), (2, 1)
Sketch a line through each pair of points, and find the slope of each line.(A) (–3, –2), (3, 4) (B) (–1, 3), (2, –3)(C) (–2, –3), (3, –3)(D) (–2, 4), (–2, –2)
(A) Write (-7, 4] as a double inequality and graph.(B) Write x < 3 in interval notation and graph.
Write the equation of the line with slope 1/2 and y intercept –1. Graph.
Solve for x.x + 1/4 = x/2 + 5
A linear regression model for the height of balsam fir trees is h = 3.8d + 18.73 where d is Dbh in inches and h is the height in feet.(A) Interpret the slope of this model.(B) What is the effect of a
(A) Write [–2, 3) as a double inequality and graph.(B) Write x ≥ –5 in interval notation and graph.
Figure 5 shows the scatter plot for white spruce trees in the Jack Haggerty Forest at Lakehead University in Canada. A regression model produced by a spreadsheet (Fig. 5), after rounding, is h = 1.8d
(A) Find the slope and y intercept, and graph y = –2/3 x – 3.(B) Write the equation of the line with slope 2/3 and y intercept –2.
Solve and graph: 3(x – 1) ≤ 5(x + 2) – 5
(A) Find an equation for the line that has slope 2/3 and passes through (6, -2). Write the resulting equation in the form Ax + By = C, A > 0.(B) Find an equation for the line that passes through (2,
Solve for x.2x + 1/3 – 5x/2 = 4
Solve and graph:2(2x + 3) < 6(x – 2) + 10
(A) Find an equation for the line that has slope 1/2 and passes through (–4, 3). Write the final answer in the form Ax + By = C.(B) Find an equation for the line that passes through the points
The speed of sound through air is linearly related to the temperature of the air. If sound travels at 331 m/sec at 0°C and at 343 m/sec at 20°C, construct a linear model relating the speed of sound
Solve and graph: –8 ≤ 3x – 5 < 7.
Sketch a graph of each equation in a rectangular coordinate system.2x + 3y = 12
Answer parts (A) and (B) in Example 7 for fixed costs of $250 per day and total costs of $3,450 per day at an output of 80 skateboards per day.Data from Example 7The management of a company that
Solve and graph: –3 < 2x + 3 ≤ 9.
The management of a company that manufactures skateboards has fixed costs (costs at 0 output) of $300 per day and total costs of $4,300 per day at an output of 100 skateboards per day. Assume that
Mary paid 8.5% sales tax and a $190 title and license fee when she bought a new car for a total of $28,400. What is the purchase price of the car?
At a price of $12.59 per box of grapefruit, the supply is 595,000 boxes and the demand is 650,000 boxes. At a price of $13.19 per box, the supply is 695,000 boxes and the demand is 590,000 boxes.
Alex purchases a big screen TV, pays 7% state sales tax, and is charged $65 for delivery. If Alex’s total cost is $1,668.93, what was the purchase price of the TV?
Table 5 lists U.S. fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y = –0.19x + 83.75 where x represents years since
At a price of $9.00 per box of oranges, the supply is 320,000 boxes and the demand is 200,000 boxes. At a price of $8.50 per box, the supply is 270,000 boxes and the demand is 300,000 boxes.(A) Find
How many bike computers would a company have to make and sell to break even if the fixed costs are $36,000, variable costs are $10.40 per computer, and the computers are sold to retailers for $15.20
Find the slope and y intercept of the graph of each equation.y = 5x – 7
A manufacturing company makes bike computers. Fixed costs are $48,000, and variable costs are $12.40 per computer. If the computers are sold at a price of $17.40 each, how many bike computers must be
What net annual salary in 1973 would have had the same purchasing power as a net annual salary of $100,000 in 2016? Compute the answer to the nearest dollar.
The Consumer Price Index (CPI) is a measure of the average change in prices over time from a designated reference period, which equals 100. The index is based on prices of basic consumer goods and
Find the slope and y intercept of the graph of each equation.y = 3x + 2
The data in Table 7 shows that the percentage of female cigarette smokers in the United States declined from 22.1% in 1997 to 13.6% in 2015.(A) Applying linear regression to the data for females in
The data in Table 7 shows that the percentage of male cigarette smokers in the United States declined from 27.6% in 1997 to 16.7% in 2015.(A) Applying linear regression to the data for males in Table
Find the slope and y intercept of the graph of each equation.y = – 5/2 x – 9
Table 8 contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is
Find the slope and y intercept of the graph of each equation.y = – 10/3 x + 4
Find the slope and y intercept of the graph of each equation.y = x/4 + 2/3
Write the solution set using interval notation.–8 < x ≤ 2
Find the slope and y intercept of the graph of each equation.y = x/5 – 1/2
Solve Problem. 5x 3 4 + x 2 x - 2 4 + 1
Solve Problem.u/5 = u/6 + 6/5
A linear regression model for the propylene glycol data in Table 11 is P = –0.54T + 34 where P is the percentage of propylene glycol in the deicing solution and T is the temperature at which the
Solve Problem.0.05x + 0.25(30 - x) = 3.3
Solve Problem.0.2(x – 3) + 0.05x = 0.4
Find the solution set.y/–5 > 3/2
Find a linear regression model for the men’s 100-meter freestyle data given in Table 15, where x is years since 1990 and y is winning time (in seconds). Do the same for the women’s 100-meter
Find a linear regression model for the men’s 200-meter backstroke data given in Table 15, where x is years since 1990 and y is winning time (in seconds). Do the same for the women’s 200-meter
Find the solution set.x/–4 < 5/6
Table 16 contains price–supply data and price–demand data for corn. Find a linear regression model for the price–supply data where x is supply (in billions of bushels) and y is price (in
Find the solution set.–3(4 – x) = 5 – (x + 1)
Find the solution set.3 – y ≤ 4(y – 3)
Find the solution set.x – 2 ≥ 2(x – 5)
Find the solution set.x/5 – x/6 = 6/5
Find the solution set.y/4 – y/3 = 1/2
Find the solution set.m/5 – 3 < 3/5 – m/2
Find the solution set.u/2 – 2/3 < u/3 + 2
Solve and graph.-4 ≤ 9/5°C + 32 ≤ 68
Solve and graph.–1 ≤ 2/3t + 5 ≤ 11
Solve for the indicated variable.y = –2/3x + 8; for x
A salesperson receives a base salary of $400 per week and a commission of 10% on all sales over $6,000 during the week. Find the weekly earnings for weekly sales of $4,000 and for weekly sales of
Given Ax + By = 12, graph each of the following three cases in the same coordinate system.(A) A = 2 and B = 0(B) A = 0 and B = 3(C) A = 3 and B = 4
If both a and b are positive numbers and b/a is greater than 1, then is a – b positive or negative?
A rock concert brought in $432,500 on the sale of 9,500 tickets. If the tickets sold for $35 and $55 each, how many of each type of ticket were sold?
You have $500,000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 5.2% annually and Fund B pays 7.7% annually.
If the price change of cars parallels the change in the CPI (see Table 2 in Example 10), what would a car sell for (to the nearest dollar) in 2016 if a comparable model sold for $10,000 in 1999?Table
If the price change in houses parallels the CPI (see Table 2 in Example 10), what would a house valued at $200,000 in 2016 be valued at (to the nearest dollar) in 1960?Table 2 Table 2 CPI (1982-1984
Retail prices in a department store are obtained by marking up the wholesale price by 40%. That is, the retail price is obtained by adding 40% of the wholesale price to the wholesale price.(A) What
A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting) at $55,000, and variable costs (printing, paper, binding, shipping) at $1.60 for
The publisher in Problem 59 finds that rising prices for paper increase the variable costs to $2.10 per book.(A) Discuss possible strategies the company might use to deal with this increase in
A plant can manufacture 80 golf clubs per day for a total daily cost of $7,647 and 100 golf clubs per day for a total daily cost of $9,147.(A) Assuming that daily cost and production are linearly
The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet.(A)
The percentage of female cigarette smokers in the United States declined from 21.0% in 2000 to 13.6% in 2015.(A) Find a linear equation relating percentage of female smokers (f) to years since 2000
The percentage of male cigarette smokers in the United States declined from 25.7% in 2000 to 16.7% in 2015.(A) Find a linear equation relating percentage of male smokers (m) to years since 2000
At a price of $9.00 per bushel, the supply of soybeans is 3,600 million bushels and the demand is 4,000 million bushels. At a price of $9.50 per bushel, the supply is 4,100 million bushels and the
At a price of $3.20 per bushel, the supply of corn is 9,800 million bushels and the demand is 9,200 million bushels. At a price of $2.95 per bushel, the supply is 9,300 million bushels and the demand
Let f(x) = x2.(A) Graph y = f(x) + k for k = –4, 0, and 2 simultaneously in the same coordinate system. Describe the relationship between the graph of y = f(x) and the graph of y = f(x) + k for any
Graph the functions f(x) = ex, g(x) = 2x, and h(x) = 3x on the same set of coordinate axes. At which values of x do the graphs intersect? For positive values of x, which of the three graphs lies
Evaluate each basic elementary function at(A) x = 729 (B) x = –5.25Round any approximate values to four decimal places.
Indicate how the graph of each function is related to the graph of the function h(x) = x2. Find the highest or lowest point, whichever exists, on each graph. (A) f(x) = (x - 3)² - 7 = x² - 6x +
Sketch the graph of each equation.(A) y = 9 – x2 (B) x2 = y4
Using the length of a fish to estimate its weight is of interest to both scientists and sport anglers. The data in Table 1 give the average weights of lake trout for certain lengths. Use the data and
Change each logarithmic form to an equivalent exponential form:(A) log5 25 = 2 (B) log9 3 = 1/2(C) log2(1/4) = –2
(A) Sketch a graph of g(x) = 2x2 – 5x – 5 in a rectangular coordinate system.(B) Find x and y intercepts algebraically to four decimal places.(C) Graph g(x) = 2x2 – 5x – 5 in a standard
Graph f(x) = 2x and g(x) = x2. For a range value of 4, what are the corresponding domain values for each function? Which of the two functions is one-to-one? Explain why.
In Problem find the domain and range of each function.f(x) = x2 – 4

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