hw 10

Find the average rate of change of the function an) = 2:132 + 33: 8, on the interval m E [2,5]. Average rate of change = Give exact answer! Question Help: .0 Post to forum The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period. Year 1997 1998 1999 2000 2001 Jobs 670 725 765 800 830 What is the average rate of change in the number of living wage jobs from 1997 to 1999?' ' Jobs/Year What is the average rate of change in the number of living wage jobs from 1999 to 2001?' ' Jobs/ Year Question Help: D Post to forum Given an) = + 4 , find the average rate of change of f(a:) on the interval [4,4 + h]. Your answer will 37 be an expression involving 11. Given f($) = 3:2 + 4m, find the average rate of change of x) on the interval [2, 2 + h]. Your answer will be an expression involving h. Given the tables for f & 9 below, find the following: :9 it) 9(13) 0 2 5 1 3 2 2 3 4 3 4 3 4 1 0 5 6 6 6 7 8 7 5 1 a o 9 9 9 7 Average rate of change of g from 7 to 8 = i Use the graph of f to evaluate the following: The average rate of change of f from 2 to 4 = I _ A A parabola that passes through the point (5, -15) has vertex (-5, 5). Its line of symmetry is parallel to the y-axis. Find equation of the parabola: y = When x = 15, what is the value of y: What is the average rate of change between x = -5 and x = 15: (fraction, or decimal rounded to thousands; no mixed fractions) Question Help: O PostA driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 1 : 31 pm. At this time, he started pumping gas into the tank. At exactly 1 : 35 p.m., the tank was full and he noticed that he had pumped 10.6 gallons. What is the average rate of flow of the gasoline into the gas tank? ' ' gall min Find the average rate of change of the function f(:c) = 1;1:2 23: + 4, from x=-2 to x=1. Note, the directions are equivalent to "Find the average rate of change over the interval [-2,1]". Average rate of change = Use the graph of f to evaluate the following: The average rate of change of f from 3 to 4 = I _ A The population of a city can be modeled by P(t) = 358%\" thousand persons, where t is the number of years after 2000. Approximately how rapidly was the city's population be changing between 2030 and 2040? The city's population was changing by} ' thousand persons/year. (Enter your answer rounded to at least three decimal places) Question Help: E] Video Q Written Example D Post to forum The amount of money, A(t) in a savings account that pays 6% interest, compounded quarterly for t yesrs, when an initial investment of $1700 is made, is given by A(t) = 1700(1.015)4t. 24(7) - F' d a) 1n 7 . Round your answer to two decimal places. A(3) 3 b) What rate of change does this represent? 0 The amount you found in part a) is the total growth over the period of time. Q The amount you found in part a) is the amount to which the investment will grow over the period of time. Q The amount you found in part a} is the average annual increase in account value over the period of time. Find the average rate of change of the function on the interval specified for real number h in the simplest form: f(x)= 4 x - 7 on [2, 2+h] Question Help: D Post to forum Find the average rate of change for the given function over the indicated interval specified by some real number h. Be sure to simplify as much as possible. an) = 5a:2+8:1: + 1 on [7,7+h]. : 5.132 xi