Question

At a local fitness center, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same? 20 points

Answer 1

For members :

Membership fee = $6.

Cost of each aerobics class = $3.

Slope -intercept form for total cost for members:

y = 3x + 6.

For non-members:

Cost of each aerobics class = $4.

Slope -intercept form for total cost for non-members:

y= 4x.

When cost will be same,

4x = 3x+6.

Solving equation for x now.

Subtracting 3x from right side, we get

4x-3x = 3x-3x+6

x = 6.

Therefore, 6 number of aerobics classes will the cost for members and nonmembers be the same.