Sangeetha Pulapaka
1

The equation for an exponential function is y = ab^{x} where a is the initial amount,, b is the common growth/decay factor and x is the time, the independent variable.

The output y = v (value in dollars, The initial amount is, a = 400,000, b = 2 (since the value is doubling each decade) and, x = d (time is in decades)

We plug in these values of y, a, b, and x in the exponential function y = ab^{x},  to get the required equation for v.

Suppose d = -2, we plug in d = -2, in the equation to get v = 400,000 \cdot 2^{-2} = \frac{400000}{4} = 100,000, and we get the value as v = $100,000. This means that the value of the home in 2013 was$100,000.

d=−2 signifies the value of the home 2 years back since 2015.

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