Question

The value of a house is 400,000 in 2015 and it doubles every decade. 1.If v is the value of the house,in dollars write an equation for v in terms of d, the number of decades since 2015.

Answer 1

`v=400,000 * (2)^d`

Explanation:

Given that,

The value of a house is 400,000 in 2015 and it doubles every decade.

Let v be the value of the house.

We need to find an equation for v in terms of d (the number of decades since 2015).

It shows that the function is exponential. So,

`v=ab^d`

Where

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So,

`v=400,000 * (2)^d`