Question
The manager of an outdoor theater space wanted to find out if ticket prices affect the number of people who attend a concert y=-15x+350 A reasonable equation for the line of best fit for this scatter plot is
. What does the y-intercept represent in this situation?
Question 4 options:
If the cost of the tickets is $25, 0 people will attend
If the cost of the tickets is $0, 350 people will attend
If the cost of the tickets is $0, 25 people will attend
If the cost of the tickets is $350, 0 people will attend
. What does the y-intercept represent in this situation?
Question 4 options:
If the cost of the tickets is $25, 0 people will attend
If the cost of the tickets is $0, 350 people will attend
If the cost of the tickets is $0, 25 people will attend
If the cost of the tickets is $350, 0 people will attend
Answers
GPT-4o mini
The equation provided is \( y = -15x + 350 \), where:
- \( y \) represents the number of people attending,
- \( x \) represents the ticket price.
In this equation, the **y-intercept** is \( 350 \). This means that when \( x = 0 \) (when the ticket price is $0), the value of \( y \) is \( 350 \).
Therefore, the y-intercept in this situation represents:
**If the cost of the tickets is $0, 350 people will attend.**
So, the correct option is:
**If the cost of the tickets is $0, 350 people will attend.**
- \( y \) represents the number of people attending,
- \( x \) represents the ticket price.
In this equation, the **y-intercept** is \( 350 \). This means that when \( x = 0 \) (when the ticket price is $0), the value of \( y \) is \( 350 \).
Therefore, the y-intercept in this situation represents:
**If the cost of the tickets is $0, 350 people will attend.**
So, the correct option is:
**If the cost of the tickets is $0, 350 people will attend.**