Question

A rental company charges a flat fee of $30 and an additional $0.25 per mile to rent a moving van for up to 75 miles. Write a linear equation to approximate the cost y (in dollars) in terms of X, the number of miles driven.

A. y = 0.25X + 30
B. y = 30X + 0.25
C. y = 0.25X - 30
D. y = 30X - 0.25

Answer 1

The linear equation that represents the cost of renting a moving van based on the number of miles driven is y = 0.25x + 30, where 'y' is the total cost and 'x' is the number of miles driven.

Step-by-step explanation:

The question asks for a linear equation that represents the cost of renting a moving van based on the number of miles driven. This cost includes a flat fee and an additional charge per mile. Using the information provided, the flat fee is $30 (which will be the y-intercept since it's the initial cost when x, the number of miles, is 0) and the charge per mile is $0.25. Therefore, the correct equation for the total cost, y, in terms of the number of miles, x, is:

y = 0.25x + 30

In this equation, 0.25 is the slope, which represents the additional cost per mile, and 30 is the y-intercept, representing the flat fee. Thus, the correct answer is A. y = 0.25x + 30.