Question

Andrew bought a house worth 200,000 dollars the house value appreciates 1% per year which of the following would help you find the value (y) of the house after 20 years?

Option 1:
y=200,000(1.01)exponent 20

Option 2:
y=200,000(0.1)exponent 20

Option 3:
y=200,000(0.99)exponent 20

Answer 1

Answer: Option 1:

y=200,000(1.01)exponent 20

Explanation:

The house value appreciates 1% per year. It means that the rate at which it is appreciating is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the house after t years.

t represents the number of years.

b represents the initial value of the house.

r represents rate of growth.

From the information given,

b = 200,000 dollars

r = 1% = 1/100 = 0.01

t = 20 years

Therefore,

y = 200000(1 + 0.01)^20

y = 200000(1.01)^20