In another city, the schools vary in size from 200 to 2 000 students. As a result, the

volleyball league is organized into three divisions. The first division is for schools with less than 500 students, the second division is for schools with 500 to 1 000 students, and the third division is for schools with more than 1 000 students.

The table below shows the populations of two schools from 1995 to 2004. SchoolAhas a population that declined from 1995 to 2004. SchoolBhas a population that grew from1995 to 2004.

1.Use exponential regression equations of the formy=abt, whereyis the school

population andtis the number of years after 1995, to model the populations of

SchoolAand SchoolB. Expressato the nearest whole number andbto the

nearest thousandth.

school A :

y = -0.030x + 3.167

log b = -0.030 ----> b = 10^(-0.030) = 0.933

log a = 3.167 ----> a = 10^3.167 = 1469

school B:

y = 0.015x + 2.682

log b = 0.015 ----> b = 10^(0.015) = 1.035

log a = 2.682 ----> a = 10^2.682 = 481

2.Determine, to the nearest tenth of a percent, the average annual rate of increase or

decrease for each school.

School A:1353(1 - r) ^9 = 755

(1 - r) ^9 = 755 / 1353 = 0.55802

1 - r = (0.55802) ^1/9

r =- 6.2%

School B: 449(1 + r) ^9 = 646

(1 + r)^9 = 646/449 = 1.4388

1 + r = (1.4388)^1/9 = 1.0412

r = 4.2%

3.Assuming the same annual rate of decrease, predict the population of SchoolA

in September 2009. Show the mathematical basis for your prediction.

4.Assuming the same annual rate of increase and using the values ofaandb

from the regression equation, predict the calendar year in which the population

of SchoolBreaches 1 000 for the first time. Justify your prediction graphically

and algebraically.

5.Assuming the same annual rates of decrease and increase, predict the calendar

years in which SchoolsAandBplay in the same division of the league. Justify

your prediction mathematically.

6.• Using the same set of axes, sketch the graphs of the regression equations for

the populations of SchoolAand SchoolBas a function of the years after 1995.

• Determine the point of intersection of the two graphs, and explain the

significance of the intersection point in the context of this project.

i did first two but struggling with rest of those. help me out here.