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A taxi company charges a base fare of $3.50 plus $0.62 perkilometer traveled. The company uses the following formula tocalculate a customer's bill.c = 3.50 + 0.62d, where c = total charge and d = distancetraveledIf a customer is charged $23.65, how many kilometers did thetaxi travel?

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SOLUTION

The formula for calculating the customer's bill is given as

[tex]\begin{gathered} c=3.50+0.62d \\ c=\text{total charge d=distance traveled} \end{gathered}[/tex]

The customer is charged $23.65 implies that

[tex]c=23.65[/tex]

To find the kilometers traveled, we are a substitute for c and obtain the value of d

[tex]\begin{gathered} c=3.50+0.62d \\ 23.56=3.50+0.62d \\ 0.62d=23.56-3.5 \\ 0.62d=20.06 \\ \end{gathered}[/tex]

Then the value of d

[tex]d=\frac{20.06}{0.62}=32.35[/tex]

Therefore the distance traveled is 32.35km

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