Question

The population of Champaign, Illinois is given for three years in the table below:

Answer 1

Answer:

See below

Step-by-step explanation:

a) Using the first two lines to get the equation:

Since t = 0 represents a start point, the y-intercept is 163488

Slope is:

• (168392 - 163488)/10 = 490.4

And the equation:

• P(t) = 490.4(t - 1970) + 163488

b) Prediction of the population in 2012 using the function:

• P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8

As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.