Question
Solving Linear Equations Online Practice Complete this assessment to review what you've learned. It will not count toward your grade. 13 of 1913 of 19 Items Question A dance studio has two participation plans. For the first plan, the cost is $20 per visit. For the second plan, the cost is $45 per month, and $5 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) Responses 45x=20+5x 45 x equals 20 plus 5 x 20x=45+5x 20 x equals 45 plus 5 x 5x=20x+45 5 x equals 20 x plus 45 20x=45x+5
Answers
Answered by
GPT-4o mini
To find the number of visits per month where the costs of the two plans are equal, we can set up an equation based on the cost structure given.
1. **First Plan:** Cost is $20 per visit, so for \( x \) visits, the cost is:
\[
\text{Cost}_{\text{Plan 1}} = 20x
\]
2. **Second Plan:** The cost is $45 per month plus $5 per visit, so for \( x \) visits, the cost is:
\[
\text{Cost}_{\text{Plan 2}} = 45 + 5x
\]
To find the number of visits where both plans cost the same, we can set these two equations equal to each other:
\[
20x = 45 + 5x
\]
This equation can be interpreted as the option:
- \( 20x = 45 + 5x \)
So the correct response is:
- **20x = 45 + 5x**
1. **First Plan:** Cost is $20 per visit, so for \( x \) visits, the cost is:
\[
\text{Cost}_{\text{Plan 1}} = 20x
\]
2. **Second Plan:** The cost is $45 per month plus $5 per visit, so for \( x \) visits, the cost is:
\[
\text{Cost}_{\text{Plan 2}} = 45 + 5x
\]
To find the number of visits where both plans cost the same, we can set these two equations equal to each other:
\[
20x = 45 + 5x
\]
This equation can be interpreted as the option:
- \( 20x = 45 + 5x \)
So the correct response is:
- **20x = 45 + 5x**