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 select... people per year.

Explanation:

Step1: Calculate the rate of change

The formula for the rate of change (slope) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(y_2 = 127\), \(y_1 = 55\), \(x_2=2000\), \(x_1 = 1980\).

$$m=\frac{127 - 55}{2000 - 1980}=\frac{72}{20}=3.6$$

Answer:

From 1980 - 2000, the rate of change is \(3.6\). This means the population increased by \(3.6\) people per year.