Question

two rental car companies are running specials this month. at donald’s rentals, customers will pay $48 to rent a mid-sized car for the first days, plus $9 for each additional day. at weston rent-a-car, the price for a mid-sized car is $41 for the first day and $10 for every additional day beyond that. at some point, renting from either one of the companies would cost a customer the same amount. how much would the customer pay? how many additional days would that take? set up a system of equations for this situation and solve.

Answer 1

the customer would pay $111 after renting the car for 7 additional days.

Explanation:

Let's denote the number of additional days a customer rents the car as "x". We are trying to find the point at which the cost from both rental car companies is the same. Let's set up the equations:

For Donald’s Rentals:

Cost = $48 (for first day) + $9 (for each additional day) * x

For Weston Rent-a-Car:

Cost = $41 (for first day) + $10 (for each additional day beyond the first) * x

Setting these two costs equal to each other and solving for "x" will give us the number of additional days at which the costs are the same:

$48 + $9x = $41 + $10x

Now, let's solve for "x":

$9x - $10x = $41 - $48

-$x = -$7

x = 7

So, after renting the car for 7 additional days, the cost from both companies will be the same. Now let's calculate the cost:

Cost = $48 + $9 * 7 = $48 + $63 = $111

Therefore, the customer would pay $111 after renting the car for 7 additional days.