Question

1. The population of a city increased from 24,800 to 31,800 between 2003 and 2008. Find the change of population per year if we assume the change was constant from 2003 and 2008.

The population increased by _____ people per year.

2. Find the equation of the line with m=3m=3 that passes through the point (5,−2)(5,-2).
Write your answer in standard form Ax+By=C.

3.

Use the table below to write a linear function that models the population, PP, of cats after ww number of weeks.

w, number of weeks	P(w) number of cats
0	2
1	6
2	10
3	14
4	18
5	22

Answer 1

1. The change of population can be calculated as follows

P= ((31800-24800)/24800)*100

=(7000*100)/24800

=28.22

To calculate per year divide P by number of years.

28.22/5=5.64

The population increased by 5.64% annually. I.e 1398 people.

2) We know the slope m=3, and y=mx+c,substitute m value in the equation

So y=3x+c and we know that the line passing through the point 5,-2.

c=y-3x substitute (5,-2)

Then c=-2-3(5)=-17

The equation of line is y= 3x-17

3)

Find the slope by considering (0,2) and (1,6) as two points.

m=(6-2)/(1-0)=4

Then y-y1=m(x-x1) substitute m,and one point values.we will get

y-2=4(x-0)

y-2=4x

So the equation is y=4x+2