Question

jacob has a business that $25 an hour to clean cars. in order to use the business through customers must pay a one time fee of $30 .if nicole went to get her car cleaned and paid $155 how many hour did it take for them to clean her car

Answer 1

Since the one time fee is $30 and for each hour you get charged $25, we can write the following equation to represent this situation:

`y=25x+30`

where 'x' is the number of hours and 'y' is the total cost.

In this case, Nicolepaid $155, then, we can make y = 155 and solve for x to find how many hours did it take to clean the car:

`\begin{gathered} y=155 \\ \Rightarrow155=25x+30 \\ \Rightarrow25x=155-30=125 \\ \Rightarrow x=(125)/(25)=5 \\ x=5 \\ \end{gathered}`

we have that x = 5, therefore, it took 5 hours to clean Nicole's car