Word Problems:
5) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Buddy's Rental
Car charges an initial fee of $36 plus an additional $28 per day. For what number of days is the total cost
charged by the companies the same?
Part A: Write an equation to model the problem.
Part B: Solve and answer the question

Andy's Rental Car: f(x)= 20 + (30x)

Buddy's Rental Car: f(x) 36 + (28x)

Step-by-step explanation:

First, identify what you know:

1) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car.

2) Buddy's Rental Car charges an initial fee of $36 plus an additional $28 a day!

So, which rental car company has the better deal? Imagine you want to rent a car for ten days, which would you choose?

First, create an equation for each:

Andy's Rental Car: f(x)= 20 + (30x)

The x represents the number of days the car is rented. Multiple the days by the $30 day charge, and add it to the initial rental charge.

Buddy's Rental Car: f(x) 36 + (28x)

The x represents the number of days the car is rented. Multiple the days by the $28 day charge, and add it to the initial rental charge.

Now, input 10, for the number of days you want to rent the car for!

Andy's Rental Car: f(10)= 20 + (30 x 10)

20 + (300)

f(x) = $320

Buddy's Rental Car: f(10) = 36 + (28 x 10)

36 + (280)

f(x) = $316

So, it would be $4 cheaper to rent from Buddy's Rental Car company than Andy's Rental Car company!

Hope this helps! :)