Algebra Lesson 6.4

What does the model P=A(1+r)^t best represent?

• Exponential growth
• Simple Interest
• Compound Interest
• Exponential Decay

Classify the model of an Exponential DECAY.

•  $y=a\left(1+r\right)^t$  

•  $y=a\left(1-r\right)^t$  

If the rate of increase is 5%, what do you plug in for r in the exponential growth?

• 5

• 0.5

• 0.05

• 0.005

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

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

• 300
• 1.16
• .16
• x

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

How do you know that this was exponential growth? $f\left(x\right)=0\ .25\ \left(\ 1.3\right)^x$  

• Because the 0.25 was bigger than one

• Because the 1.3 was bigger than one

• Because the 0.25 was less than one

• Because the 1.3 was less than one

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ How many ants did you begin with? 

• There was 2 ants

• There was 3 ants

• The equation doesn't tell us

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

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x