### Home > INT2 > Chapter 11 > Lesson 11.2.2 > Problem 11-73

11-73.

A six‑year old house, now worth

If you want to calculate the value of the house at a given time, what is the multiplier you need to use in this situation?

Because the house value is appreciating, the multiplier must be greater than

.

What did the house cost when it was new?

Substitute the information in the problem into the generic exponential function.

Then calculate backwards to find the original value.Write a function of the form

that represents the value of the houseyears after it was first built.