Question

the data in the graph show the average weight for girls based on age. (a) use the coordinates of the given points to find the slope of the line, and write the answer in decimal form. (b) interpret the meaning of the slope in the context of this problem. average weight for girls by age weight (lb) (9, 72.4) (6, 49.6) age (yr) part: 0 / 2 part 1 of 2 the slope is

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, let $(x_1,y_1)=(6,49.6)$ and $(x_2,y_2)=(9,72.4)$.

Step2: Substitute values

$m=\frac{72.4 - 49.6}{9 - 6}=\frac{22.8}{3}$.

Step3: Calculate result

$\frac{22.8}{3}=7.6$.

The slope represents the rate of change. In the context of this problem, the slope of $7.6$ means that, on average, the weight of girls increases by $7.6$ pounds per year.

Answer:

$7.6$