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

Mathematics

1 answer:

Crazy boy [7]1 year ago

4 0

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.

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