Question

Write two real-world situations that you can model using the exponential function f(x) = 2x.

Answer 1

There were 2 visitors on the first day, 4 visitors on day two, 8 visitors on day three, and so on. The number of people on day x = 2x

p = f(x) = 2x

2 bacteria initially.

number (n) of bacteria after x hours = (number of bacteria)hours

n = f(x) = 2x

Explanation:

Answer 2

The number of visitors at a trade fair doubles each day. There were 2 visitors on the first day, 4 visitors on day two, 8 visitors on day three, and so on. The number of people on day x = 2x
p = f(x) = 2x

The number of bacteria in a culture doubles each hour. There were 2 bacteria initially.
number (n) of bacteria after x hours = (number of bacteria)hours
n = f(x) = 2x