# Math Help - need help domain range algebra problem

1. ## need help domain range algebra problem

1) The table shows the number of active red-cockaded woodpecker clusters in a part of the De Soto National Forest in Mississippi. Write an equation that models the number of active clusters as a function of the number of years since 1990.

Year 1992 1993 1994 1995 1996 1997 1998 1999 2000
Active clusters 20 28 34 40 42 48 52 56 63

2) 2) Use the data in the table to write an equation that models y as a function of x.
x 1 2 3 4 5 6 8
y 3 7 8 10 13 15 22

2. no idea if im right but wouldnt you add all the clusters up then divide by the number of clusters there was. no idea haha ima a noob at math

3. Originally Posted by sri340
1) The table shows the number of active red-cockaded woodpecker clusters in a part of the De Soto National Forest in Mississippi. Write an equation that models the number of active clusters as a function of the number of years since 1990.

Year 1992 1993 1994 1995 1996 1997 1998 1999 2000
Active clusters 20 28 34 40 42 48 52 56 63

2) 2) Use the data in the table to write an equation that models y as a function of x.
x 1 2 3 4 5 6 8
y 3 7 8 10 13 15 22

Hi sri340,

Are you allowed to use a graphing calculator to do linear regression analysis on this data, set up a scatter plot, find the line of best fit?

4. Originally Posted by sri340
1) The table shows the number of active red-cockaded woodpecker clusters in a part of the De Soto National Forest in Mississippi. Write an equation that models the number of active clusters as a function of the number of years since 1990.

Year 1992 1993 1994 1995 1996 1997 1998 1999 2000
Active clusters 20 28 34 40 42 48 52 56 63

2) 2) Use the data in the table to write an equation that models y as a function of x.
x 1 2 3 4 5 6 8
y 3 7 8 10 13 15 22

1. Let 1992 be year 0

A linear relationship will be $y = mx+c$

You could take the mean of the difference between terms to get the rough growth between terms:

This would give 5.375 which would be the gradient m

To find c pick a value of x and it's corresponding y value:

$20 = 0+c \rightarrow c = 20$

I actually cheated for this one and looked in excel which gives $y = 5x+22.56$