Question

At age 16, Estelle weighed 110lbs.

By age 21 she weighed 128lbs.

What is the increase in her weight over the past 5 years?

x= age

y= weight

Slope= y2-y1/x2-x1

Answer 1

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

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=(y_2-y_1)/(x_2-x_1)`

Using the above formula we get

`m=(128-110)/(21-16)`

`m=(18)/(5)`

`m=3.6`

Therefore the slope is 3.6 lbs per year.