Linear Equations in Real-World Scenarios Practice

Question

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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 where the two participation plans cost the same, we can set up an equation.

Let \( x \) represent the number of visits per month.

For the first plan, the cost for \( x \) visits is given by: \[ \text{Cost of Plan 1} = 8x \]

For the second plan, the cost consists of a fixed monthly fee plus a per-visit fee, which can be represented as: \[ \text{Cost of Plan 2} = 40 + 2x \]

To find when both plans are equal in cost, we set the two equations equal to each other: \[ 8x = 40 + 2x \]

This is the equation you need to solve to find the number of visits \( x \) at which the costs of both plans are the same.