Question

Find C and a so that f(x) = CaX models the situation described. State what the variable x represents in your formula. In 2000 a house was worth $220,000, and its value decreases by 11% each year thereafter. please help im failing ​

Answer 1

Answer:

f(x) = Ca^x

x = years since 2000.

f(0) = 220000 = Ca^0 = C

f(x) = 220000a^x

f(1) = 220000(1-0.11) = 220000a^1

a = 0.89

f(x) = 220000(0.89)^x

So each year reduces by 89%