Question

Statement: A fitness club advertises a special for new members. Each month, m, of membership is $19, with an initial enrollment fee of $75. Write an expression for the cost of membership. Then, find the cost of 8 months of membership

Answer 1

Given:

Monthly membersihp fee is, m = $19.

Initial enrollment fee is, i = $75.

The objective is to write a cost expression and to fnd the cost for 8 months of membership.

From the given data, the enrollment fee is an one time payment. But the monthly membership fee is a variable cost with respect to number of months x.

Then, the expression can be represented as,

`y=19x+75`

Here, y stands for cost, x stands for number of months.

Thus, the required cost expression is obtained.

To find the cost for 8 months, substitute x = 8 in the cost expression.

`\begin{gathered} y=19(8)+75 \\ y=152+75 \\ y=227 \end{gathered}`

Hence, the cost for 8 months is $227.