Question

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

Answer 1

Stella's equation is given by

`y=(0.5)/(40)x+100`

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,

`270=(0.5)/(40)x+100`

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

`\begin{gathered} 270-100=0.5x \\ 170=0.5x \end{gathered}`

then x is given by

`\begin{gathered} x=(170)/(0.5) \\ x=340 \end{gathered}`

so, the greatest number of miles is 340 miles