Ten years ago, mr. and mrs. boyce bought a house for $96000. their home is now worth $125000. assuming a steady rate of growth, what was the annual rate of appreciation?

  2.67% per year

Step-by-step explanation:

If g is the growth factor, its value can be found from the equation ...

  125000 = 96000·g^10

Dividing by 96000 and taking the 10th root, we get

  125000/96000 = g^10

  (125/96)^(1/10) = g ≈ 1.026748

The growth rate is this value minus 1, expressed as a percentage:

  (g-1)×100% ≈ 2.67% . . . . 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

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