Question

A rental car agency charges a flat fee of $110.00 plus $46.00 per day to rent a certain car. Another agency charges a fee of $70.00 plus $54.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day.

9
3
5
8

Answer 1

The answer to this question would be: 5 days
In this question, there are two kinds of rent pricing and you are asked to find the number of days when both of them will charge the same price.
From the description, you can get an equation of each price which would look like this(x=number of day rent):

cost1= 110 + 46x
cost2= 70 + 54x

Then, the days when the price same would be:
cost1 = cost2
110 + 46x= 70+54x
110-70= 54x - 46x
40= 8x
x=5