Question

Rita 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 111 charges and allows unlimited mileage. Company B has an initial fee of 75 and charges an additional for every 0.90 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 .

Answer 1

Answer And Step-by-step explanation:

To determine the mileages at which Company A charges less than Company B, we need to compare their pricing structures.

Company A charges a flat rate of 111 and allows unlimited mileage. This means that regardless of the number of miles driven, the cost will always be 111.

Company B, on the other hand, has an initial fee of 75 and charges an additional amount for every 0.90 mile driven. Let's call the number of miles driven x. The cost for Company B can be represented by the equation 75 + 0.90x.

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

111 < 75 + 0.90x

To solve this inequality, we can subtract 75 from both sides of the equation:

36 < 0.90x

Next, we divide both sides of the equation by 0.90 to isolate x:

40 < x

So, Company A will charge less than Company B for any mileage greater than 40 miles. This means that if Rita plans to drive more than 40 miles, she should choose Company A to save on costs.