Question

Amy is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices,Company A charges an initial fee of $60 and an additional 60 cents for every mile driven,Company B has no initial fee but charges 80 cents for every mile driven.For what mileages will Company A charge at least as much as Company B?AUse m for the number of miles driven, and solve your inequality, for m.0D OSO020s?

Answer 1

Let x be the number of miles driven.

Let y be the total charge.

Company A: Initial fee $60 and an additional 60 cents permile drive:n

$y_A=60+0.60x$

Compan B No initia fee, 80 cents forper mile driven:

$y_B=0.80x$

Find x when YA is at least as much as YB:

$\begin{gathered} y_A\leq y_B \\ \\ 60+0.60x\leq0.80x \end{gathered}$

Solve x:

$\begin{gathered} 60+0.60x-0.60x\leq0.80x-0.60x \\ 60\leq0.2x \\ \frac{60}{0.2}\leq x \\ \\ 300\leq x \end{gathered}$

Then, the number of miles needs to be greater than or equal to 300

$x\ge300$