Exponential Growth

Exponential Growth

Different Models and Word Problems

Multiple Choice

Warmup #1:

Which of these images shows exponential growth?

Multiple Choice

Warmup #2:

The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days.

What is the initial population of the fruit flies?

 $f\left(t\right)=100\left(1.05\right)^t$  

• $100$

• $1.05$

• $105$

• $95$

Multiple Choice

Warmup #3:

The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days. 
What is the growth factor for the fruit fly population? $f\left(t\right)=100\left(1.05\right)^t$ 

• $100$

• $1.05$

• $105$

•  $5$ 

Multiple Choice

Warmup #4: 

The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days. 

About how many fruit flies are in the population after 7 days?

 $f\left(t\right)=100\left(1.05\right)^t$  

• 141 flies

• 105 flies

• 101 flies

• 735 flies

Learning Intentions:

• I will learn how to use the exponential growth equation to solve real-world problems

• I will understand how to model exponential growth using an equation and a graph

• Success criteria: I can accurately analyze a graph and use that information to solve a problem.