Answered

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Goran rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 92 cents for each mile driven. Goran had to pay $252.82 when he returned the truck. For how many miles did he drive the truck?

Sagot :

Let x be the miles driven, and y be the cost, then we can write the following relationship:

[tex]y=0.92x+20.99[/tex]

In our case, we know that the final cost was y=252.82 and we need to find the miles given by x, then, we have

[tex]252.82=0.92x+20.99[/tex]

By moving 20.99 to the left hand side, we have

[tex]\begin{gathered} 252.82-20.99=0.92x \\ 231.83=0.92x \end{gathered}[/tex]

then, x is given by

[tex]\begin{gathered} x=\frac{231.83}{0.92} \\ x=251.98\text{ miles} \end{gathered}[/tex]

then, the answer is 251.98 miles

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