Question

A truck can be rented from Company A for $90 a day plus $0.80 per mile. Company B charges $50 a day plus $0.90 per mile to rent the same truck. F

number of miles in a day at which the rental costs for Company A and Company B are the same.
At
miles, the rental costs are the same from either company.
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Answer 1

400 miles

Explanation:

the equation could be :

90 + 0.80 n = 50 + 0.90 n , n for Numbers of miles.

90 + 0.80 n = 50 + 0.90 n

90-50 = 0.90 n - 0.80 n

40 = 0.10 n

n = 40/(0.10)

n = 400

Answer 2

400 miles

Explanation:

Define the variables:

Let x = number of miles driven

Let y = total cost of rental

Company A

Given:

• Charge to rent the truck is $90 a day plus $0.80 per mile.

⇒ y = 90 + 0.8x

Company B

Given:

• Charge to rent the truck is $50 a day plus $0.90 per mile.

⇒ y = 50 + 0.9x

To find the number of miles for which Company A and Company B charge the same amount, substitute the equation for Company A into the equation for Company B and solve for x:

⇒ 90 + 0.8x = 50 + 0.9x

⇒ 90 + 0.8x - 50 = 50 + 0.9x - 50

⇒ 40 + 0.8x = 0.9x

⇒ 40 + 0.8x - 0.8x = 0.9x - 0.8x

⇒ 40 = 0.1x

⇒ 40 ÷ 0.1 = 0.1x ÷ 0.1

⇒ 400 = x

Therefore, the number of miles for which the rental costs are the same from either company is 400 miles.

To find the cost, substitute x = 400 into one of the equations:

⇒ y = 90 + 0.8(400)

⇒ y = 90 + 320

⇒ y = 410

Therefore, the daily cost from both companies for 400 miles would be $410.