Chapter 9 Exponential vs. Linear Growth

Question 1

A bank account earning 3 percent every year and an ant population doubling every month are example of what?

Answer 1

Exponential growth- which occurs when a value grows periodically by a factor greater than 1.

Question 2

What’s the equation for exponential growth?

Answer 2

y=ab^t. Y is the value after t specified units of time, a is the initial value, and b (base) is a growth factor greater than one.

Question 3

What is the equation for exponential decay?

Answer 3

Y=ab^t. Same as growth

Question 4

If Ann has a piggy bank with 100 dollars already in it, and she adds 5 dollars every month, the total mount in the piggy bank can be modeled by A=5t+100. What is this an example of?

Answer 4

Linear growth. A is the total amount, t is the number of months, and 100(the year-intercept) is the initial amount.

Question 5

If Ann takes 5 dollars out of her piggy bank every month instead of adding to it, is an example of what?

Answer 5

Linear decay. A=100-5t