Question

Esmeralda rents a car from a company that rents by the hour. she has to pay an initial fee of $50, and they charge her $8 per hour. she has $150 available to spend on car rental. what is the greatest number of hours for which she can rent the car?A. 18 hoursB. 12.5 hoursC. 12 hoursD. 13 hours

Answer 1

Let the number of hours be x,

Initial fee is $50,

Amount charged per hour is $8

The charge for a number of x hours is'

`x*8=8x`

The total amount Esmeralda has is $150,

Therefore,

`8x+5\leq150`

Solving for x to find the greates number of hours,

`\begin{gathered} 8x+50\leq150 \\ \text{Collect like terms,} \\ 8x\leq150-50 \\ 8x\leq100 \\ \text{Divide both sides by 8} \\ (8x)/(8)\leq(100)/(8) \\ x=12.5\text{ hours} \end{gathered}`

Hence, the greates number of hours is 12.5 hours.

Option B is the right answe