Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $118 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Use for the number of miles driven, and solve your inequality for .
Please help quickly. Thank you.
118 < 55 + .9x
Solve for x.
To determine the mileage at which Company A charges less than Company B, we need to set up an equation and solve for the variable.
Let's assume the number of miles driven is represented by the variable 'x'.
For Company A, the cost is a flat fee of $118 regardless of the number of miles driven.
For Company B, the cost consists of an initial fee of $55 and an additional charge of $0.90 per mile driven.
Now, we can set up the equation:
Cost for Company A < Cost for Company B
$118 < $55 + ($0.90 * x)
To simplify the equation, we can rewrite it as:
118 < 55 + 0.9x
To solve for x, we need to isolate the variable:
118 - 55 < 0.9x
63 < 0.9x
Divide both sides of the inequality by 0.9:
63/0.9 < 0.9x/0.9
70 < x
Therefore, for mileages greater than 70, Company A will charge less than Company B.