Question

Jeff is trying to decide between two car rental companies. Company A charges an up-front fee of $60 plus $20 per day. Company B charges an up-front fee of $15 plus $35 per day. Which equation shows the number of days x a car would need to be rented in order for both companies to charge the same amount for a car rental?

Answer 1

To find the equation that shows the number of days x a car would need to be rented in order for both companies to charge the same amount, we need to set up an equation. The equation $60 + $20x = $15 + $35x does not have a valid solution. Therefore, there is no number of days where both companies charge the same amount.

Step-by-step explanation:

Mathematics

To find the equation that shows the number of days x a car would need to be rented in order for both companies to charge the same amount, we need to set up an equation.

Let's start with Company A: the cost is $60 plus $20 per day, so the equation will be:

CostA = $60 + $20x

Next, let's look at Company B: the cost is $15 plus $35 per day, so the equation will be:

CostB = $15 + $35x

To find the number of days x where both companies charge the same amount, we can set the two equations equal to each other:

$60 + $20x = $15 + $35x

Now, we can solve this equation for x:

-20x + 35x = 15 - 60

15x = -45

x = -45/15

x = -3

Since we can't have negative days, our solution for x is not valid. Therefore, there is no number of days where both companies charge the same amount.