8. Use the given point and slope to write (a) an equation of the line in point-slope form and (b) an equivalent equation of the line in slope-intercept form. slope - 3, containing (7, 0) a) The equation of the line in point-slope form is (Type an equation.) b) The equation of the line in slope-intercept form is (Type an equation.) 9. Find (a) the slope (if it is defined) of a line containing the two given points, (b) the equation of the line containing the two points in slope-intercept form, and (c) the ordered pair identifying the line's y-intercept, assuming that it exists. If appropriate, state whether the line is vertical or horizontal. (1, 3). (2, 3) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The slope is . (Type an integer or a simplified fraction.) O B. The slope is undefined. The line is (1) b) Select the correct choice below and fill in the answer box to complete your choice. [Type an equation.) O A. The slope is defined. The equation of the line in slope-intercept form is J B. The slope is undefined. The equation of the line is c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept exists and its coordinates are . (Type an ordered pair.) B. The y-intercept does not exist. (1) O vertical. neither horizontal nor vertical. O horizontal. 10. Find (a) the slope (if it is defined) of a line containing the two given points, (b) the equation of the line containing the two points in slope intercept form, and (c) the ordered pair identifying the line's y-intercept, assuming that it exists. If appropriate, state whether the line is vertical or horizontal. (5, 2), (5, 3) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is . (Type an integer or a simplified fraction.) O B. The slope is undefined. The line is (1) b) Select the correct choice below and fill in the answer box to complete your choice. Type an equation.] O A. The slope is defined. The equation of the line in slope-intercept form is O B. The slope is undefined. The equation of the line is c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept exists and its coordinates are (Type an ordered pair.) O B. The y-intercept does not exist. (1) O vertical. O neither horizontal nor vertical. O horizontal.16. Find the average rate of change in the annual premium for a family's health Health Insurance Premiums insurance. Q 10,000- The average rate of change was $ per year. (2002, 9500) Q (Round to the nearest cent as needed.) Inual Health Insurance Premium for Family (in dollar 4080 (19 92 31731 2080- 1992 1994 1990 1998 2000 2002 Year 17. Find the average rate of change of the tuition and fees at public two-year colleges a 40,000- The average rate of change is $ per year. (201 29530) (Simplify your answer. Round to the nearest cent as needed.) 30,00D- Tuition & Fees at Public 2-yr Colleges (in $) 20,000- 10,000- 2000 2004 2008 2012 2016 Year 18. ft Impulses in nerve fibers travel at a speed of 293 -. The distance D, in feet, traveled at t sec is given by D = 293t. How long would it take an impulse to travel from the brain to the toes of a person who is 6.4 ft tall? sec (Round to the nearest thousandth as needed.) 19. While driving a car, you see a child suddenly crossing the street. Your brain a) Find D(5). D(20), D(50), and D(65)- registers the emergency and sends a signal to your foot to hit the brake. The car travels a reaction distance D, in feet, during the time it takes you to react, where D(5) = D is a function of the car's speed r, in miles per hour. That reaction distance is a D(20)= linear function given below. Complete parts (a) through (d). D(50) = 35r + 17 D(65) = D(r) = - 34 (Round to the nearest tenth as needed.) b) Choose the correct graph of D(r). O A. O B. $ 30- Q 8 307 Distance [0) In feet Distance (D) In feet of 30 30 Speed (r) In mph Speed (r) in mph O C. O D. DE 30 Distance (D) in feet Distance (D) in feet DE 30 Speed (r) in mph Speed (r) in mph c) Interpret the meaning of the slope in the context of this problem. For every 1-mph (1) In speed, the braking distance (2) by (3) d) What is the domain of this function? The domain is (Type your answer in interval notation.) (1) O increase (2) O remains constant (3) O 1.0 ft. O decrease O increases O 1.0 miles. O decreases O 1.0 in.| 100% 1:57 PM Print 2. What is the slope of this roof? 12 66 Select the correct choice below and fill in any answer boxes within your choice. O A. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined. 13. A registrar's office finds that the number of inkjet cartridges, I, required each year for its copiers and printers varies directly with the number of students enrolled, s. a) Find an equation of variation that expresses I as a function of s, if the office requires 15 cartridges when 2600 students enroll. b) How many cartridges would be required if 2900 students enrolled? a) What is an equation of variation that expresses I as a function of s? O A. I(s) = 2615s O B. I(s) = 0.0058s O C. I(s) = 173s O D. I(s) = 39,000s b) How many cartridges would be required if 2900 students enrolled? (Round to the nearest integer as needed.) 14. Jimmy decides to mow lawns to earn money. The initial cost of his electric lawnmower is $250. Electricity and maintenance costs are $5 per lawn. Complete parts (a) through (c). a) Formulate a function C(x) for the total cost of mowing x lawns. C(x) = b) Jimmy determines that the total-profit function for the lawn mowing business is given by P(x) = 9x - 250. Find a function for the total revenue from mowing x lawns. R(x) = How much does Jimmy charge per lawn? S c) How many lawns must Jimmy mow before he begins making a profit? (Round to the nearest integer as needed.) 15. A farmer buys a new tractor for $151,000 and assumes that it will have a trade-in value of $82,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. Complete parts (a) and (b). a) Find a linear model for the depreciated value V of the tractor t years after it was purchased. V = b) What is the depreciated value of the tractor after 6 years? The depreciated value of the tractor after 6 years is $ 16. Find the average rate of change in the annual premium for a family's health Health Insurance Premiums insurance. Q The average rate of change was $ Q per year. (2002, 2506) (Round to the nearest cent as needed.) Inual Health Insurance Premium for Family (in dollar 4000- (1992 3175) 2080- 1992 1994 1990 1998 2000 2002 Year 17. Find the average rate of change of the tuition and fees at public two-year colleges. a 40,000- The average rate of change is $ per year. (Simplify your answer. Round to the nearest cent as needed.) 30,000- (201 29530) Tuition & Fees at Public 2-yr Colleges (in $) 20,000- 10,000- 2000 2004 2008 2012 2016 Year