Need help with this khanacademy problem

Step-by-step explanation:

g(x) = abˣ

(0,6) and (1,9) are points on the curve.

g(0) = 6

ab⁰ = 6

a = 6

g(x) = 6bˣ

g(1) = 9

6b¹ = 9

b = 9/6 = 1.5

g(x) = 6·1.5ˣ

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

any options?

step-by-step explanation: