At a local fitness​ center, members pay a ​$10 membership fee and ​$4 for each aerobics class. Nonmembers pay ​$6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

5 classes

Step-by-step explanation:

Let x represent the number of aerobics classes

Create an equation that sets the member and nonmember prices equal to each other, then solve for x:

4x + 10 = 6x

10 = 2x

5 = x

So, after 5 aerobics classes, the costs will be the same.

answer: i think it's a

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: