At a local fitness center, members pay aa $12 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? I'm having trouble trying to figure this out.

Question

At a local fitness center, members pay aa $12 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? I'm having trouble trying to figure this out.

Answer 1

actually the answer was 12 thank you oobleck

Answer 2

For x sessions,

members pay 12 + 3x
non-mebers pay 4x
So, what do you think?

Or, consider that members save $1 each session, so how long will it take to save the $12 fee?

Answer 3

To find the number of aerobics classes for which the cost for members and non-members is the same, we can set up an equation.

Let's assume the number of aerobics classes is represented by x.

For members, the cost is $12 (membership fee) plus $3 (cost per aerobics class), which can be written as 12 + 3x.

For non-members, the cost is $4 (cost per aerobics class), which can be written as 4x.

To find the point where the two costs are the same, we can set up the equation:

12 + 3x = 4x

Now, we can solve this equation to find the value of x:

12 = 4x - 3x

12 = x

So, the two costs will be the same when the number of aerobics classes is 12.

Answer 4

To find the number of aerobics classes for which the cost is the same for members and non-members, we need to set up an equation and solve for the variable.

Let's start by setting up the equation.

For members, the cost of aerobics classes is given by the equation: Cost(M) = $12 + $3 * number of classes.

For non-members, the cost of aerobics classes is given by the equation: Cost(NM) = $4 * number of classes.

We need to find the number of classes when Cost(M) is equal to Cost(NM). So, we can set up the equation:

$12 + $3 * number of classes = $4 * number of classes.

To solve this equation, let's simplify it step by step:

$12 + $3 * number of classes = $4 * number of classes.

$12 = $4 * number of classes - $3 * number of classes.

$12 = $1 * number of classes.

Now, we can isolate the number of classes by dividing both sides of the equation by $1:

$12 / $1 = number of classes.

Simplifying further, the equation becomes:

12 = number of classes.

So, the cost for members and non-members will be the same when the number of classes is 12.

Therefore, for 12 aerobics classes, the cost for members and non-members will be equal.

At a local fitness​ center, members pay aa ​$12 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? I'm having trouble trying to figure this out.

actually the answer was 12 thank you oobleck

For x sessions,

To find the number of aerobics classes for which the cost for members and non-members is the same, we can set up an equation.

To find the number of aerobics classes for which the cost is the same for members and non-members, we need to set up an equation and solve for the variable.

At a local fitness center, members pay aa $12 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? I'm having trouble trying to figure this out.