Question

Vivian found data about her city's population and made a scatter plot the equation of the linebbest fit for. Her data is p= 637.5 + 198,368.1 where p is the population and t is the number of years since 1990 what is the real word meaning of the slope of this line

Answer 1

annual growth rate m = 637.5 people / year

Explanation:

Solution:-

- The scatter plot displaying the city's population was modeled by a linear equation of the form:

y = m*x + c

Where, m and c are constants.

- The scatter plot displayed the following relation of the city's population (p):

p = 637.5*t + 198,368.1

Where, p : The population in t years after after 1990

t : The number of years passed since 1990.

- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:

dp / dt = m = 637.5

- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year