Exponential Patterns

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x

What is the general form of the recursive rule for an exponential pattern.

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

• 300

• 1.16

• .16

• x

What is the decay factor in the following model?
A=1200(.85)⁶

• 1200

• -.15

• .85

• A

What is the equation for the table?

• y = 1(2)^x

• y = 2(1)^x

• y = 2(3)^x

• y = 3(2)^x

Write a recursive rule that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• Next = Now + 0.14, starting at 6

• Next = Now + 14, starting at 6

• Next = Now* 1.14, starting at 6

• Next = Now + Now *14, starting at 6

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• Next = Now * 0.7, starting at 5000

• Next = Now * 0.3, starting at 5000

• Next = Now * 1.3, starting at 5000

• Next = Now * -0.3, starting at 5000

What type of functions is this?

• Linear

• Quadratic

• Exponential

• Other

What pattern do you see in this table?

• The number of circles increases by 2 from one stage to the next

• The number of circles doubles from one stage to the next

• The number of circles increases by 2 then by 4 for the rest of the stages

• There is no pattern

Observe the patterns on this table, what does Jada and Noah's stage 5 look like? (Hint: more than one answer!)