INB 38/39 Exponential Modeling

The function f(x) = 800(1.02)^x models money in a savings account. What is the initial amount of money?

• $800

• $1.02

• $816

• $16

Linear or Exponential?

• Linear

• Exponential

Linear or Exponential?

• Linear

• Exponential

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• Exponential Growth; $y=2200\left(3.39\right)^x$

• Exponential Growth; $y=7500\left(3.34\right)^x$

• Exponential Decay; $y=2200\left(3.39\right)^x$

A population of 180 bacteria quadruples every minute. Write an equation to model the population as a function of time.

A particular type of cell doubles in number every hour.  which function can be used to predict the number of cells present at the end of h hours if there are initially 4.

• a
• b
• c
• d

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ What is the growth rate?

• The ants are growing by 3 times

• The ants are growing by 2 times

• The equation doesn't tell us

• 16

• 8

• 1/16

• 1/4

There was a measles outbreak at a school, 5 students were identified to have the measles initially. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. 

How many students are identified to have measles at the end of the 6^th day of the outbreak?

• 286

• 160

• 320

• 378

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

• $\frac{1283-2000}{5\ -\ 0}=-143.4$

• $\frac{2000-1283}{5\ -\ 0}=\ 143.4$

• $\frac{5-0}{1283-2000}=-0.007$

• $\frac{5-0}{2000-1283}=0.007$