The scatterplot below shows the number of bags of popcorn sold when x movie tickets are sold.

Question

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

Answer 1

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.