Ashley 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
$95
and allows unlimited mileage.
Company B has an initial fee of
$75
and charges an additional
$0.80
for every mile driven.
For what mileages will Company A charge less than Company B?
Use
m
for the number of miles driven, and solve your inequality for
m.

Company A: Charges an initial fee of $75 and a daily fee of $25.

Company B: No initial fee and a $50 daily fee.

To determine the mileage at which Company A charges less than Company B, we need to set up an inequality.

Let's denote the cost of renting the truck from Company A as A(m) and the cost from Company B as B(m).

For Company A, the cost is a flat rate of $95, regardless of the mileage. Therefore, A(m) = $95.

For Company B, the cost consists of an initial fee of $75 and an additional charge of $0.80 for each mile driven. This can be represented as B(m) = $75 + $0.80m.

To find the mileage at which Company A charges less than Company B, we need to set up the inequality:

A(m) < B(m)

Substituting the expressions for A(m) and B(m):

$95 < $75 + $0.80m

Subtracting $75 from both sides:

$20 < $0.80m

Dividing both sides by $0.80:

25 < m

Therefore, the mileage at which Company A charges less than Company B is any value greater than 25 miles.

To determine the mileage at which Company A charges less than Company B, we need to set up an inequality.

Let's assume that the cost of renting the truck from Company A is denoted by "C_A" and Company B is denoted by "C_B".

For Company A, the cost is a fixed amount of $95, regardless of the mileage. So, C_A = $95.

For Company B, the initial fee is $75, and they charge an additional $0.80 for every mile driven. So, C_B = $75 + ($0.80 * m), where "m" represents the number of miles driven.

To find the mileage at which Company A charges less than Company B, we need to find the inequality expression.

C_A < C_B
$95 < $75 + ($0.80 * m)

Simplifying the inequality:
$95 < $75 + $0.80m

Subtracting $75 from both sides:
$20 < $0.80m

Dividing both sides by $0.80:
25 < m

So, the inequality expression for the mileage at which Company A charges less than Company B is:
25 < m

In other words, Company A will charge less than Company B for any mileage greater than 25 miles.

95 < 75 + .80m

Solve for m.