Question

the graph shows the population growth in a city. find the rate of change in population for 1980 - 2000 and describe its meaning in the context of the situation select your answers from the drop - down menus. from 1980 - 2000, the rate of change is select... this means the population increased by people per year.

Explanation:

Step1: Calculate the change in population

The population in 1980 is \(93\) and in 2000 is \(127\).
The change in population \(\Delta P=127 - 93=34\)

Step2: Calculate the change in time

The change in time \(\Delta t = 2000-1980 = 20\) years

Step3: Calculate the rate of change

The rate of change formula is \(m=\frac{\Delta P}{\Delta t}\)
Substitute \(\Delta P = 34\) and \(\Delta t=20\) into the formula: \(m=\frac{34}{20}=1.7\)

Answer:

From 1980 - 2000, the rate of change is \(1.7\). This means the population increased by \(1.7\) people per year.