The population of Champaign, Illinois is given for three years in the table below: Year Population
1970 163488
1980 168392
2012 203276

(a)Using 1970 as t=0, create a linear model
from the first two data points in this table to
predict the population, p, as a function of the
number of years since 1970, t.

(b) If this model is used to predict the population of Champaign in the year 2012, will the model over estimate or underestimate the actual population? Explain.

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:

And the equation:

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

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.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer