Question

At age 16, Estelle weighed 110lbs.

Answer 1

Answer:

Her weight is increase by 18 lbs over past five years and the slope is 3.6 lbs per year.

Step-by-step explanation:

Given information: Estelle weight is

At age 16 =  110 lbs

At age 21 = 128 ibs

Increase in her weight over the past 5 years is the difference of weight at age 21 and at age 16.

Increase in her weight over the past 5 years = 128 - 110 = 18

Her weight is increase by 18 lbs over past five years.

Let x=age and y=weight, then the weight function passes through the points (16,110) and (21,128).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$,  then the slope of the line is

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

Using the above formula we get

$m=\frac{128-110}{21-16}$

$m=\frac{18}{5}$

$m=3.6$

Therefore the slope is 3.6 lbs per year.