name date 97) the table below shows the average diameter of a pupil in a persons eye as he or she grows…

name date 97) the table below shows the average diameter of a pupil in a persons eye as he or she grows older. age (years) average pupil diameter (mm) 20 4.7 30 4.3 40 3.9 50 3.5 60 3.1 70 2.7 80 2.3 what is the average rate of change, in millimeters per year, of a persons pupil diameter from age 20 to age 80? 1) 2.4 2) 0.04 3) -2.4 4) -0.04

name date 97) the table below shows the average diameter of a pupil in a persons eye as he or she grows older. age (years) average pupil diameter (mm) 20 4.7 30 4.3 40 3.9 50 3.5 60 3.1 70 2.7 80 2.3 what is the average rate of change, in millimeters per year, of a persons pupil diameter from age 20 to age 80? 1) 2.4 2) 0.04 3) -2.4 4) -0.04

Answer

Explanation:

Step1: Identify the formula for average rate of change

The formula for average rate of change is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$, where $y$ is the pupil - diameter and $x$ is the age.

Step2: Determine the values of $x_1,y_1,x_2,y_2$

From the table, when $x_1 = 20$, $y_1=4.7$; when $x_2 = 80$, $y_2 = 2.3$.

Step3: Calculate the average rate of change

Substitute the values into the formula: $\frac{y_2 - y_1}{x_2 - x_1}=\frac{2.3 - 4.7}{80 - 20}=\frac{- 2.4}{60}=-0.04$.

Answer:

  1. -0.04