In Byron's class, there are 2 boys for every 3 girls. Today 7 new boys were added making the number of boys and girls the same. How many boys and girls were there originally?​

12

Step-by-step explanation:

2+3=5+7=12

Yellowstone

What do you want to find out?

-What type of function best models the population growth for each species

Population 1 (y1):

Grizzly Bears

1. Increasing

2. (4.5-4.0)/(1-0) =0.5

3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.

4. Linear

Population 2 (y2):

Pocket Gophers

5. 60.7 population per square mile

6. (60.7-10.6)/(10-5) =50.1/5 =10.02

7. Exponential

8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5

The estimated rate of change from year 5 to year 6:

2.5 x 1.5 =3.75

Population 3 (y3):

Osprey

9. 9 population per square mile. This occurred in year 5.

10. (4-9)/(10-5) =-5/5 =-1

This is a decrease

11. Quadratic, the numbers increase as well as decrease.

12. Circle the point where x=0 (the point where the three lines intercept)

The initial point, where x=0, y1,y2,y3 =4

13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6

B. (4-7.2)/(10-8) =-3.2/2 =-1.6

C. (-1.6)-(-0.6)/(10-5) =-0.2

the formula is

-0.2*(x^2)+2x+4

Substituting x with 15,

-0.2*(15^2)+2(15)+4

=-45+30+4

=-11 population per square mile