Linear Equations in Real-World Scenarios Practice

Question

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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.