Question

Linear Equations in Real-World Scenarios Practice
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Question
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.(1 point)

Answer 1

To find the number of visits per month at which the two plans are equal, let's set up the equations representing the costs of each plan.

1. **Cost of the first plan** (per visit plan):
\[
\text{Cost}_1 = 8x
\]
where \( x \) is the number of visits.

2. **Cost of the second plan** (monthly fee + per visit fee):
\[
\text{Cost}_2 = 40 + 2x
\]

Now, we will set these two equations equal to find the number of visits \( x \) where both plans cost the same:

\[
8x = 40 + 2x
\]

This equation shows the number of visits per month where the costs of both plans are equal.