Question

Two truck rental companies have different rates. V-Haul has a base charge of $70.00, plus $0.50 per mile. W-Haul has a base charge of $65.60. plus $0.55 per mile. For how many miles would these two companies charge the same amount? if a driver drives 20 miles, those two companies would charge the same amount of money.

Answer 1

I think the other person who answered was right

Answer 2

Question:

Two truck rental companies have different rates. V-Haul has a base charge of $70.00, plus $0.50 per mile. W-Haul has a base charge of $65.60. plus $0.55 per mile. For how many miles would these two companies charge the same amount?

Solution:

First, denote by m the miles. Now, If V-Haul has a base charge of $70.00, plus $0.50 per mile, then the linear equation that describes this situation is:

`70+\text{ 0.50m}`

On the other hand, if W-Haul has a base charge of $65.60. plus $0.55 per mile, then the linear equation that describes this situation is:

`65.60+\text{ 0.55m}`

now, these companies charge the same amount when:

`70+\text{ 0.50m = 65.60 + 0.55m}`

this is equivalent to:

`0.55m\text{ -0.50m = 70-65.60}`

this is equivalent to:

`0.05m\text{ = 4.4}`

then, solving for m, we get:

`m\text{ = }(4.4)/(0.05)\text{ = 88 miles }`

then, we can conclude that the correct answer is:

if a driver drives 88 miles, those two companies would charge the same amount of money.