Question
The scatterplot below shows the number of bags of popcorn sold when x movie tickets are sold.
A graph titled Popcorn sales has movie tickets sold on the x-axis, and bags of popcorn sold on the y-axis. A trend line has a regression equation of y = 0.6 x + 10.
About how many movie tickets will be sold if 100 bags of popcorn are sold?
70
73
150
183
A graph titled Popcorn sales has movie tickets sold on the x-axis, and bags of popcorn sold on the y-axis. A trend line has a regression equation of y = 0.6 x + 10.
About how many movie tickets will be sold if 100 bags of popcorn are sold?
70
73
150
183
Answers
GPT-4o mini
To find the number of movie tickets sold when 100 bags of popcorn are sold, we can use the regression equation provided:
\[ y = 0.6x + 10 \]
Here, \( y \) represents the bags of popcorn sold and \( x \) represents the movie tickets sold. We want to find \( x \) when \( y = 100 \):
1. Substitute \( y = 100 \) into the equation:
\[
100 = 0.6x + 10
\]
2. Subtract 10 from both sides:
\[
90 = 0.6x
\]
3. Divide both sides by 0.6:
\[
x = \frac{90}{0.6} = 150
\]
So, about **150 movie tickets** will be sold if 100 bags of popcorn are sold.
\[ y = 0.6x + 10 \]
Here, \( y \) represents the bags of popcorn sold and \( x \) represents the movie tickets sold. We want to find \( x \) when \( y = 100 \):
1. Substitute \( y = 100 \) into the equation:
\[
100 = 0.6x + 10
\]
2. Subtract 10 from both sides:
\[
90 = 0.6x
\]
3. Divide both sides by 0.6:
\[
x = \frac{90}{0.6} = 150
\]
So, about **150 movie tickets** will be sold if 100 bags of popcorn are sold.