Question

The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many months did the family use the pool?

Answer 1

The pool membership has an initial fee of $350, afterwards you have to pay $125 per month.

Let "x" represent the number of months of the membership and "y" represent the total cost after x months, you can express the relationship between the number of months of the membership and the total cost as:

`y=350+125x`

The family paid $1350 for the membership, to determine the number of months they paid "x", you have to replace the equation with y=1350 as follows:

`1350=350+125x`

To calculate the value of x, first, pass 350 to the other side of the equation by applying the opposite operation to both sides of it:

`\begin{gathered} 1350-350=350-350+125x \\ 1000=125x \end{gathered}`

Next, divide both sides by 125 to reach the value of x:

`\begin{gathered} (1000)/(125)=(125x)/(125) \\ 8=x \end{gathered}`

The family used the pool for 8 months.