A2M Exponential Growth and Decay

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

• 300
• 1.16
• .16
• 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

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

If you have $10, and your money doubles every year, how much money will you have in 10 years?

• $50

• $100

• $5120

• $10240

Which of the following is an example of exponential decay?

• y = 3(5)^x

• y = .5(5)^x

• y = 2(.5)^x

• y = 8(1)^x

Which of the following is an example of exponential growth?

• y = 5(.5)^x

• y = .2(.8)^x

• y = .2(6)^x

• y = 50(.9)^x

A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?

• 13 grams
• 6.5 grams
• 1.22 grams
• 592.31 grams

Is this exponential growth or decay?

• Growth
• Decay

What type of function is f(x) = 2^x ? 

• exponential growth 
• linear equation
• exponential decay 
• linear inequality