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Rena is going to rent a truck for one day. There are two companies she can to choose from, and they have the following prices.Company a charge is $80 and allows unlimited mileage. Company B has an initial fee of $65 in charges an additional $.60 for every mile driven. For what mileages will Company A charge less than Company B. Use m for the number of miles driven in, and solve your inequality for m.

Respuesta :

Let the charge be y($) and the number of miles driven be m;

For company A;

[tex]y=80[/tex]

For company B;

[tex]y=60+0.60m[/tex]

When the charge of company A is less than company B, we have;

[tex]80<65+0.6m[/tex]

So, we solve the inequality as;

[tex]\begin{gathered} 80-65<0.6m \\ 0.6m>15 \\ m>\frac{15}{0.6} \\ m>25 \end{gathered}[/tex]

When the milleage is greater than 25miles, the charge of company A is less than company B

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