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.