Question

A function that can be described by y = mx + b is a linear function and car be written f(x) = mx + b. You can use the Problem-Solving Guidelines to solve problems involving linear functions.A health club charges $30 for a one-month membership plus $1.50 for each aerobics class. Find the total cost for a month in which Adam attends 5 aerobics classes.

Answer 1

The equation of a linear relationship is given to be:

`y=mx+b`

From the question provided, we have that:

`\begin{gathered} b=30\text{ \lparen one-time payment\rparen} \\ m=1.50\text{ \lparen cost per class\rparen} \end{gathered}`

Therefore, the relationship will be:

`y=1.5x+30`

If Adam attends 5 aerobics classes, this means that:

`x=5`

Substituting this into the equation, we can solve for y, the total cost, to be:

`\begin{gathered} y=1.5(5)+30 \\ y=7.5+30 \\ y=37.5 \end{gathered}`

The total cost is $37.50.