Question

98 POINTS // PLEASE ANSWER ASAP // NO GUESSING // ANSWER ALL PARTS

The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.


(a) Write an equation to represent this relationship. Let x be the number of miles driven and y be the total cost for the day.

(b) What does the graph of this equation form on a coordinate plane? Explain.

(c) What is the slope and the y-intercept of the graph of the relationship? Explain.

Answer 1

A) y=.50x+15

B) The graph would be a line starting in the bottom left corner and rising to the upper right, the start of the y axis would be 1, as it represents the miles, and the start of the x axis would be 0.50, as it represents the amount of money charged per mile.

C) If you apply the formula y=mx+b to the equation, you will see that 0.50 is the slope, and 15 is the y-intercept.

Answer 2

y = .5x +15

The graph is a line.

The slope is .5 and the y intercept is 15. The flat fee is the y intercept and the cost per mile is the slope.

Explanation:

The flat fee is the y intercept and the cost per mile is the slope

The total cost for the day is equal to the cost per mile * the number of miles driven plus the flat fee. Let x be the number of miles driven and y be the total cost for the day.

We can use y = mx+b

y = .5x +15

When we graph, x must be greater than 0 because we cannot drive negative miles.

The slope is .5 and the y intercept is 15. The flat fee is the y intercept and the cost per mile is the slope.