Let's set up the inequality to compare the costs of the two companies:
For Company A: Cost = 0.60m
For Company B: Cost = 0.40m + 65
To find the mileages where Company A charges more than Company B, we need to find the values of m for which the cost of Company A exceeds the cost of Company B.
So, we need to solve the inequality 0.60m > 0.40m + 65.
Subtract 0.40m from both sides: 0.60m - 0.40m > 0.40m + 65 - 0.40m
0.20m > 65
Divide both sides by 0.20: (0.20m)/0.20 > 65/0.20
m > 325
Therefore, for mileages greater than 325, Company A will charge more than Company B.
Latoya 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 has no initial fee but charges 60 cents for every mile driven.
Company B charges an initial fee of $65 and an additional 40 cents for every mile driven.
For what mileages will Company A charge more than Company B?
Use m for the number of miles driven, and solve your inequality for m .
1 answer
1 answer