Linear vs Exponential Scenarios

Linear Vs Exponential Functions

​Linear

​Exponential

​Linear Functions

Multiple Choice

Select the linear equation.

Multiple Choice

Is the representation linear or non-linear? 

• Linear
• Non-Linear

Multiple Select

Which show a linear function? Select 2.

Multiple Choice

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

Multiple Choice

Is the table linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• linear function

• nonlinear function

Exponential Functions

Multiple Choice

The graph of this function is a curve going up really fast or down really fast. 

• Linear 
• Exponential

Multiple Choice

Is the pictured graph exponential growth or linear?  

• Exponential Growth
• Linear

Multiple Choice

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Exponential

Multiple Choice

Is the table linear or exponential?

• Linear

• Exponential

Multiple Choice

Consider the relationship represented by this table. Is it linear or exponential?

• Linear

• Exponential

Multiple Select

Choose the two exponential functions below.

• $$y=-5x+6$$  

• $$y=2\left(3\right)^x$$  

• $$y=4^x$$  

• $$y=10x$$  

​Creating Linear Equations

Multiple Choice

What is the slope in y=mx+b

• y

• m

• x

• b

Multiple Choice

What is the y-intercept in y=mx+b

• y

• m

• x

• b

Multiple Choice

Choose the correct linear equation if m=-9 and b=12

• $$y=9x+12$$  

• $$y=12\left(-9\right)^x$$  

• $$y=-9x+12$$  

• $$y=-9x-12$$  

Multiple Choice

Choose the correct linear equation if the slope is 1.5 and the y-intercept is 2.

• $$y=1.5x+2$$  

• $$y=1.5\left(2\right)^x$$  

• $$y=1.5x-2$$  

• $$y=2\left(1.5\right)^x$$  

​Creating Exponential Equations

Multiple Choice

What is the growth factor in $$y=ab^x$$  

• y

• a

• x

• b

Multiple Choice

What is the initial value or starting value in $$y=ab^x$$  

• y

• a

• x

• b

Multiple Choice

Choose the correct exponential equation if a=100 and b=2

• $$y=100x+2$$  

• $$y=100\left(2\right)^x$$  

• $$y=2x+100$$  

• $$y=2\left(100\right)^x$$  

Multiple Choice

What is the y -intercept of  y=3(4)^x?

• 1
• 0
• 4
• 3

Multiple Choice

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.
• The predicted decrease in number of elephants in the refuge each year.
• The number of years it will take for the elephant population to stop increasing.
• The initial amount of elephants in the park.

Multiple Choice

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

• 300
• 1.16
• .16
• x

Multiple Choice

Choose the correct exponential equation if the initial value is 28 and the growth factor triples.

• $$y=2x+28$$  

• $$y=28\left(2\right)^x$$  

• $$y=28\left(3\right)^x$$  

• $$y=3\left(28\right)^x$$  

Multiple Choice

The number of rabbits at the beginning of the summer was 50. The population of rabbits is expected to double every month. How many rabbits will there be after 4 months?

• 100

• 200

• 400

• 800

Multiple Choice

The equation below represents the growth of a bacteria population left in a petri dish after n months. How big will the bacteria population be after 3 months?

$$y=536\left(3\right)^n$$  

• 1608

• 14,472

• 4824

• 12, 018