Question

Ally owns a kayak rental compaly. She charges an initial fee of 15$ for each rental and an hour rate of 6$. Ally charged customers 75$. White an equation to find the number of hours she rented the kayak. use x as your variable

Answer 1

hello

to solve this question, we can simply write out the equation and the proceed to solve for the unknown variable

let the numbers of hours be represented by x

the cost of the rental service be represented by y

`y=15+6x`

this is the standard equation to represent this problem.

however, we are given the total cost of the rental service. we can use this information to find the numbers of hours spent.

`\begin{gathered} y=15+6x \\ 75=15+6x \end{gathered}`

let's solve for x here

`\begin{gathered} 75=15+6x \\ \text{collect like terms} \\ 75-15=6x \\ 60=6x \\ \text{divide both sides by the coefficient of x} \\ (60)/(6)=(6x)/(6) \\ x=10 \end{gathered}`

from the calculations above, the total number of hours rented is equal to 10is equal to 10