Question

1. 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=0.50x+15

b) The graph of this equation form on a coordinate plane is a line.

c) Slope =0.50 and y-intercept = 15

Explanation:

Let x = Number of miles driven by car

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

a) Total cost = 0.50x+15

If y =total cost of renting the car, then y=0.50x+15 (i)

b) Above equation is similar to y= mx+c (ii) [m = slope , xc=y-intercept] which a linear equation .

So the graph of this equation form on a coordinate plane is a line.

c) Comparing (i) and (ii)

m=0.50 , c=15

Hope this helps :)