8. According to the U.S. census, the population of the city of Grand Rapids, MI, was...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
8. According to the U.S. census, the population of the city of Grand Rapids, MI, was 181,843 in 1980; 189,126 in 1990; and 197,800 in 2000. a. Between 1980 and 2000, by how many people did the population of Grand Rapids grow? b. In an average year between 1980 and 2000, by how many people did the population of Grand Rapids grow? c. Just like we can find the average velocity of a moving body by computing change in position over change in time, we can compute the average rate of change of any function f. In particular, the average rate of change of a function f over an interval [a, b] is the quotient f(b)-f(a) b-a measure on the graph of y = f(x) over What does the quantity f(b)-f(a) ba the interval [a, b]? d. Let P(t) represent the population of Grand Rapids at time t, where t is measured in years from January 1, 1980. What is the average rate of change of P on the interval t = 0 tot = 20? What are the units on this quantity? e. If we assume the population of Grand Rapids is growing at a rate of approximately 4% per decade, we can model the population function with the formula P(t)= 181843(1.04)/10 Use this formula to compute the average rate of change of the population on the intervals [5, 10], [5,9], [5, 8], [5, 7], and [5,6]. f. How fast do you think the population of Grand Rapids was changing on January 1, 1985? Said differently, at what rate do you think people were being added to the population of Grand Rapids as of January 1, 1985? How many additional people should the city have expected in the following year? Why? 8. According to the U.S. census, the population of the city of Grand Rapids, MI, was 181,843 in 1980; 189,126 in 1990; and 197,800 in 2000. a. Between 1980 and 2000, by how many people did the population of Grand Rapids grow? b. In an average year between 1980 and 2000, by how many people did the population of Grand Rapids grow? c. Just like we can find the average velocity of a moving body by computing change in position over change in time, we can compute the average rate of change of any function f. In particular, the average rate of change of a function f over an interval [a, b] is the quotient f(b)-f(a) b-a measure on the graph of y = f(x) over What does the quantity f(b)-f(a) ba the interval [a, b]? d. Let P(t) represent the population of Grand Rapids at time t, where t is measured in years from January 1, 1980. What is the average rate of change of P on the interval t = 0 tot = 20? What are the units on this quantity? e. If we assume the population of Grand Rapids is growing at a rate of approximately 4% per decade, we can model the population function with the formula P(t)= 181843(1.04)/10 Use this formula to compute the average rate of change of the population on the intervals [5, 10], [5,9], [5, 8], [5, 7], and [5,6]. f. How fast do you think the population of Grand Rapids was changing on January 1, 1985? Said differently, at what rate do you think people were being added to the population of Grand Rapids as of January 1, 1985? How many additional people should the city have expected in the following year? Why?
Expert Answer:
Answer rating: 100% (QA)
a The population of Grand Rapids grew by 15957 people between 1980 and 1990 189126 181843 and by 8674 people between 1990 and 2000 197800 189126 There... View the full answer
Related Book For
Understanding Business Statistics
ISBN: 978-1118145258
1st edition
Authors: Stacey Jones, Tim Bergquist, Ned Freed
Posted Date:
Students also viewed these mathematics questions
-
Let g(x) = ∫x f(t) dt, where f is the function whose graph is shown. (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. (b) Estimate g(7). (c) Where does have a maximum value? Where does it have...
-
Let X = [X1, X2¦ XN] T represent an N- dimensional vector of random variables that is uniformly distributed over the region, x1 + x2 + . . . + xN ¤ 1, x I ¥ 0, i = 1, 2, ¦ N....
-
Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7...
-
You are supply chain manager for a company Yard-Depot located in Huntsville. You found a drywall sheetrock manufacturing company in South Nevada and signed a deal to buy sheetrock from this company....
-
Develop a communication plan for an airport security project. The project entails installing the hardware and software system that (1) Scans a passengers eyes. (2) Fingerprints the passenger. (3)...
-
Find the derivative of g(x) = 9x cot x at x = g' (7) = Submit Answer Tries 0/99 JT 2
-
Refer to Exercise 4.2. (a) Determine the cumulative probability distribution \(F(x)\). (b) Graph the probability distribution of \(f(x)\) as a bar chart and below it graph \(F(x)\). Data From...
-
Perry Co. predicts it will use 25,000 units of material during the year. The expected daily usage is 200 units, and there is an expected lead time of five days and a desired safety stock of 500...
-
4. The energy consumed by a machine is 14 kg m2/s. Convert this energy in lb, minute (min), and in. Note: 1 lb = 0.454 kg, 1 min = 60s, and 1 in = 0.0254 m. [A1] Lin
-
Diana and Ryan Workman were married on January 1 of last year. Diana has an eight-year-old son, Jorge, from her previous marriage. Ryan works as a computer programmer at Datafile Inc. (DI) earning a...
-
Laizure Clinic uses patient-visits as its measure of activity. The clinic bases its budgets on the following information: Revenue should be $59.90 per patient-visit. Personnel expenses should be...
-
4. The AS curve slopes upward because higher cyclical output both increases costs of production and gives firms a better bargaining position to raise prices. Fale it describe how economic the...
-
3.1 The output is the result of fitting an educational attainment function, regressing S on ASVABC, a measure of cognitive ability, SM, and SF, years of schooling (highest grade completed) of the...
-
Adan and Eva are both under age 65 and bona fide residents of Puerto Rico who file a joint return. Adan had self-employed gross income of $30,000 from his business in Puerto Rico. Eva works for the...
-
1. Generate a titration curve (pH vs. mL NaOH) for the titration of 10 mL 0.15M Acetic Add with 0.15M NaOH (2mL intervals up to 16 mL). 2. Use the guide to titration curves to calculate the pH at...
-
2.3 Franklin is a single taxpayer, 63 years old, and a bona fide resident of Puerto Rico with no dependents. Franklin received a Form SSA-1099, Social Security benefits, showing $26,700 in box 3. He...
-
Barbara bought a 91-day T-bill that has an interest rate of 4.30% p.a. and a face value of $5,000. How much did she pay for the T-Bill? After 40 days, Barbara sold the T-bill to her friend when the...
-
r = 0.18 Find the coefficients of determination and non-determination and explain the meaning of each.
-
Use the F table to determine the value beyond which you would find a. 5% of the values, if numerator degrees of freedom = 4 and denominator degrees of freedom = 18. b. 5% of the values, if numerator...
-
You have a random sample of 100 population members from each of two populations. You intend to use sample results to test the following hypotheses: H 0 : 1 2 < 0 H a : 1 2 > 0 a. Suppose the...
-
Testing athletes for illegal steroid use is becoming more sophisticated. (For example, see New Designer Steroid Detected A mong Top A thletes , pbs.org/newshour.) Suppose testing Olympic athletes...
-
Consider the situation illustrated in Figure 25. 11. A positively charged particle is lifted against the uniform electric field of a negatively charged plate. Ignoring any gravitational interactions,...
-
A positively charged particle is moved from point A to point B in the electric field of the massive, stationary, positively charged object in Figure 25. 12. (a) Is the electrostatic work done on the...
-
Two metallic spheres A and B are placed on nonconducting stands. Sphere A carries a positive charge, and sphere B is electrically neutral. The two spheres are connected to each other via a wire, and...
Study smarter with the SolutionInn App