A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x as your variable.

Answer 1

Let's start with Plan 1:

Cost of Plan 1 for x visits = 8x

For Plan 2, the cost is $40 per month, and $2 per visit. So the equation for Plan 2 is:

Cost of Plan 2 for x visits = 40 + 2x

Now we need to find the value of x where the costs of Plan 1 and Plan 2 are equal:

8x = 40 + 2x

Subtracting 2x from both sides:

6x = 40

Dividing both sides by 6:

x = 6.67

So the two plans are equal when you attend the studio 6.67 times per month. In this case, it probably makes more sense to choose Plan 2 since attending 7 classes/month costs $54 with Plan 1, but only $54 with Plan 2 (the same fixed monthly cost regardless of the number of visits).

Answer 2

i need just the equasion