Will mark brainest! At a local fitness center, members pay a $6 membership fee and $5 for each aerobics class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmembers be the same? Thus, for _ aerobics classes, the cost will be the same for members and nonmembers?

Answer: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 get4x-3x = 3x-3x+6x = 6.Therefore, 6 number of aerobics classes will the cost for members and nonmembers be the same.