8.5 - 8.6

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

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

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

How do we know that is an example of an exponential growth?

• Its a line going up

• Its a line going down

• Its a smooth curve going down

• Its a smooth curve going up

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

• 300
• 1.16
• .16
• x

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 + 0.35)^x

• y = 15(0.35)^x

• y = 35(1+ 0.15)^x

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

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²