Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000 In 2013, the cost of a compact car averaged $9500. Assume that the relationship between time and cost is linear. (a) Develop an equation describing the average cost C of a compact car at any time z the no. of years after 2010; (b) What do you predict the average cost of a compact car will be in 2017? (e) Interpret the slope of the equation for this problem.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Part D. Problem Solving
(1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000.
In 2013, the cost of a compact car averaged $9500. Assume that the relationship between time
and cost is linear.
(a) Develop an equation describing the average cost C of a compact car at any time z the no
of years after 2010;
(b) What do you predict the average cost of a compact car will be in 2017?
(c) Interpret the slope of the equation for this problem.
(2) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth rate
is 2% per year. If the population continue to grow at this rate.
(a) Express the population in term of the number of years t after 1995 and estimate the
population of the world in 2012;
(b) By what year will the population have doubled? When will it have tripled?
Transcribed Image Text:Part D. Problem Solving (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000. In 2013, the cost of a compact car averaged $9500. Assume that the relationship between time and cost is linear. (a) Develop an equation describing the average cost C of a compact car at any time z the no of years after 2010; (b) What do you predict the average cost of a compact car will be in 2017? (c) Interpret the slope of the equation for this problem. (2) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth rate is 2% per year. If the population continue to grow at this rate. (a) Express the population in term of the number of years t after 1995 and estimate the population of the world in 2012; (b) By what year will the population have doubled? When will it have tripled?
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