Question

1. aponi uses beads to make hair barrettes with a butterfly design. the number of beads she uses is proportional to the number of hair barrettes she makes. aponi graphs a line that shows the number of hair barrettes she makes and the total number of beads she uses. two points on the line are (2, 150) and (5, 375). what does the slope of the line mean in this situation? a. aponi uses 45 beads to make each hair barrette. b. aponi uses 75 beads to make each hair barrette. c. aponi uses 150 beads to make each hair barrette. d. aponi uses 225 beads to make each hair barrette.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Substitute points (2,150) and (5,375)

$m = \frac{375 - 150}{5 - 2} = \frac{225}{3} = 75$

Step3: Interpret slope meaning

Slope = beads per barrette = 75

Answer:

B. Aponi uses 75 beads to make each hair barrette.