Assume an exponential function has a starting value of 13 and a growth rate of 0.35%. Write an equation to model the situation.

Question

Assume an exponential function has a starting value of 13 and a growth rate of 0.35%. Write an equation to model the situation.

Answer 1

y = 13(1.0035)^t where t = time .0035 = growth rate

Answer 2

Let's start with the basic formula. Since we know this is an exponential growth function, the equation will be

f(x) = a (1 + r)^x where

1. a is the base amount
2. r is the rate
3. x is the number of time intervals

Looking at the problem you can see that a = 13 and r = 0.0035.

Hence, the exponential function is 13(1 + 0.0035)^x

Answer 3

f(x) = 13(1 + 0.0035)^x