Question

Linear Equations in Real-World Scenarios Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4 per visit. How many visits would make the cost of both plans the same?(1 point)
The plans would cost the same at
visits.
Remaining Attempts : 3

Answer 1

To find out how many visits would make the cost of both plans the same, we can set up an equation.

Let \( x \) be the number of visits.

For the first plan:
- Cost = \( 10x \)

For the second plan:
- Cost = \( 30 + 4x \)

Now, we can set the two costs equal to each other:

\[
10x = 30 + 4x
\]

Next, we can solve for \( x \):

1. Subtract \( 4x \) from both sides:

\[
10x - 4x = 30
\]

\[
6x = 30
\]

2. Divide both sides by 6:

\[
x = \frac{30}{6} = 5
\]

Therefore, the plans would cost the same at **5 visits**.