Exponential Growth & Decay Exit Ticket

What does the a in y=a(1+r)^x  represent?

• Time
• Rate
• Slope
• Initial Amount

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

Is this exponential growth or decay?

• Growth
• Decay
• Linear

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

Write an equation 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.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

What type of function is y = 7(1.25)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

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

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

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

• y=5000(1-0.3)^x

• y=5000(1-3)^x

• y=5000(1+0.3)^x

• y=5000(1+3)^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(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF.LE.A.1

What is the decay rate in the following model?

A=1200(.85)⁶

• 1200

• .15

• .85

• 6

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5