Jack invested some money in a bank at a fixed rate of interest compounded annually. the equation below shows the value of his investment after x years. f(x)=300(1.02)^x what is the average rate of change of the value of jacks investment from the third year to the fifth year? a) 6.43 dollars per year b) 8.24 dollars per year c) 12.86 dollars per year d) 14.26 dollars per year

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

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

they will manufacture 8496 cars