A small rural town has experienced growth at a rate of 50 people per year since 2000. If the population of the town in 2000 was 600, which of the following equations represents the town's population as a function of time? (Assume 2000 is represented by x = 0, 2001 is represented by x = 1, and so on).
A.
50x + y = 600
B.
50x – y = –600
C.
x + 50y = 600
D.
x – 50y = 600

B; 50x – y = –600

Step-by-step explanation:

rate of growth is 50 people per year

50x

you started with 600

y=50x+600

50x-y= -600

-y= -50x-600

y=50x+600

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3