Rate of Exponential Functions

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• 0.16

• x

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5

• -.05

• .95

• .05

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

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

• Growth

• Decay

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Given a graph of an exponential function that passes through the points (1,2) and (3,8), what is the rate of the exponential function?

• 2

• 3

• 4

• 6

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

What type of function is y=7\left(\frac{5}{4}\right)^x ?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Is this exponential growth or decay?

• Growth

• Decay