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,
[tex]y=19x+75[/tex]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.
[tex]\begin{gathered} y=19(8)+75 \\ y=152+75 \\ y=227 \end{gathered}[/tex]Hence, the cost for 8 months is $227.
