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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 him for the number of miles driven in severe an equity for him.

Sagot :

Given:-

Company A charge $80.

Company B charge $65 and $.60 for every mile.

Let x be the number of miles driven in severe an equity.

Company A charge,

[tex]A=80[/tex]

Company B charge,

[tex]B=65+0.60x[/tex]

Now let A=B. we get,

[tex]\begin{gathered} 80=65+0.60x \\ 80-65=0.60x \\ 15=0.60x \end{gathered}[/tex]

Converting $0.06,

[tex]\begin{gathered} 0.60=\frac{60}{100} \\ 0.60=\frac{6}{10} \end{gathered}[/tex]

now,

[tex]\begin{gathered} 0.60x=15 \\ \frac{6}{10}x=15 \\ 6x=150 \\ x=\frac{150}{6} \end{gathered}[/tex]

Simplifying we get,

[tex]\begin{gathered} x=\frac{150}{6} \\ x=\frac{50}{2} \\ x=25 \end{gathered}[/tex]

For milage 25 company A charge less than Company B use him for the number of miles driven in severe an equity for him.