Question

A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company​ B's?

For Company A to have a better​ deal, the truck must be driven more than

blank miles per day.

pls fast

Answer 1

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

`(-0.20x)/(-0.20)>(-50)/(-0.20)\\x>250`

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.