Lashonda is going to rent a truck. For mileages greater than 375 miles, company A charges more.
Solution:
Given, Lashonda 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 $75 and an additional 40 cents for every mile driven.
We have to find for what mileages will Company A charge more than Company B?
Let us use "m" for the number of miles driven,
Then, charges by company A = 60cents x m = 60m
And charges by company B = $75 + 40cents x m
= 75 x 100 cents + 40m = 7500 + 40m.
Now, according to given condition,
[tex]60 m>7500+40 m \rightarrow 60 m-40 m>7500 \\\\\rightarrow 20 m>7500 \rightarrow m>\frac{7500}{20} \\\\\rightarrow m>375[/tex]
Hence, for mileages greater than 375 miles, company A charges more
