Question

The cost of a taxi ride can be modeled as a function of the number miles traveled. There is a base charge of $3.50 and also a charge of $0.10 per mile. A- Write an equation to describe this scenario B- What does the independent variable represent? C- What does the dependent variable represent? D- What is the rate of change in this scenario?

Answer 1

a. C(x) = $3.50 + $0.10x. b. distance traveled c. cost of the taxi ride d. $0.10 per mile

Explanation:

A. Let C be the cost of the taxi ride and x be the distance traveled in miles. Since there is a base charge of $3.50 and a charge of $0.10 per mile, the cost of the ride is thus

C(x) = $3.50 + $0.10x.

B. The independent variable represents the distance traveled in miles since it is the parameter being measured.

C. The dependent variable represents the cost of the taxi ride, since it is value depends on the parameter (the distance) being measured.

D. The rate of change in this scenario is the $0.10 per mile