Question

The value of houses in a city are increasing at a continuous growth rate of 6% per year. For a house that currently costs $400,000 find the exponential growth function in the form y=aekx. What would be the value of this house 4 years from now? Round to the nearest cent.

Answer 1

y = 400,000e^{0.06x}

$508,500

Explanation:

The computation of the exponential growth function and value of this house 4 years from now is shown below:

The exponential growth function in the form of y = ae^{kx}

y = 400,000e^{0.06x}

And, the value after 4 years is

= 400,000e^{0.06*4}

= $508,500