Exponential Growth Function

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

What is the growth FACTOR for the function: f(x) = 300(1.16)^x?

The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500 and its value increases at a rate of 5% per year. Find the value of the item after 4 years.

What is the starting term for the function: f(x) = 300(1.16)^x?

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

What is the initial value of the situation represented by f(x)=0.05(2)^x?

Bacteria growing can be represented by which of the following?

Which variable represents time passed in the function y=ab^x?