Sheryl takes a summer job selling hats for a local soccer team. She realizes that there is a relationship between the number of games the team wins each season and the number of hats vendors like her tend to sell. She collects data from the past several seasons. The scatter plot shows her data and the line of best fit.
A scatter diagram shows the Number of Games Team Won on the x-axis and the Number of Team Hats Sold on the y-axis. A line is drawn from (0, 14) to (9, 47.5). One dot was plotted on the line at (7, 40) and other dot plots are marked near the line.
Using technology, she finds that the equation of the line of best fit is y = 3.75x + 13.75.
Based on the equation for the line of best fit, about how many hats can Sheryl predict she will sell if the team wins 9 games this season?
A.
9 hats
B.
42 hats
C.
10 hats
D.
48 hats
Based on the equation for the line of best fit, if the team wins 9 games this season, Sheryl can predict she will sell:
y = 3.75x + 13.75
y = 3.75(9) + 13.75
y = 33.75 + 13.75
y = 47.5
Therefore, Sheryl can predict she will sell about 47.5 hats if the team wins 9 games this season.
However, since the number of hats needs to be a whole number, the closest option would be 48 hats (D).