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Type your answer in the box. You may use numbers, a decimal point (), and/or a negative ion() in your answerStella is renting a car for a business trip. The car rental agency charges a flat rate of 100 plus $0.50 per mile for every mile she drives over 40 miles. Stella'scompany will pay up to $270, excluding the cost of gasoline, for the use of the rental car. What is the greatest number of miles Stella can drive the rental carwithout spending more than $2702

Respuesta :

Stella's equation is given by

[tex]y=\frac{0.5}{40}x+100[/tex]

where x represents the miles, y the total cost and 100 is the flat rate.

Now, since the maximun amount of money is $270, we need to find x in our formula. that is,

[tex]270=\frac{0.5}{40}x+100[/tex]

Then, by moving 100 to the left hand side, we get

[tex]\begin{gathered} 270-100=0.5x \\ 170=0.5x \end{gathered}[/tex]

then x is given by

[tex]\begin{gathered} x=\frac{170}{0.5} \\ x=340 \end{gathered}[/tex]

so, the greatest number of miles is 340 miles

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