Question

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

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

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

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

Answer 1

SOLUTION

GIVEN

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

TO DETERMINE

• The equation to represent this relationship. Let x be the number of miles driven and y be the total cost for the day.

• The graph of this equation form on a coordinate plane

• The slope and the y-intercept of the graph of the relationship

EVALUATION

Here it is given that The cost of renting a car for a day is 0.50 per mile plus a 15 flat fee.

Now x be the number of miles driven and y be the total cost for the day.

So total cost = 0.50x + 15

So by the given condition

$\sf{y = 0.50x + 15}$

Which is the required equation to represent the relationship

Graph : The graph is refer to the attachment

The obtained equation is

$\sf{y = 0.50x + 15}$

So the slope = 0. 50 & y - intercept = 15

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