Exponential Growth/Decay Factor

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.HSF.LE.A.2

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.HSF.LE.A.2

What type of function is y = 7(5/4)^x?

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

Tags

CCSS.HSF-IF.C.8B

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Given the equation $y=900\left(1.03\right)^x$ , what's the percent change? 

• 103% increase

• 3% decrease

• 3% increase

• 0.03% decrease

Tags

CCSS.HSF-IF.C.8B

Given the equation $y=5\left(0.92\right)^x$ , what's the percent change? 

• 92% decrease

• 8% decrease

• 108% increase

• 8% increase

Tags

CCSS.HSF-IF.C.8B

Given the equation $y=325\left(1.025\right)^x$ , what's the percent change? 

• 25% increase

• 0.25% increase

• 2.5% increase

• 102.5% increase

Tags

CCSS.HSF-IF.C.8B

If there is a 15% decrease, what's the b-value in the exponential equation?

• b=0.15

• b=0.85

• b=1.15

• b=0.75

Tags

CCSS.HSF-IF.C.8B

If there is a 4% decrease, what's the b-value in the exponential equation?

• b=0.4

• b=1.04

• b=0.04

• b=0.96

Tags

CCSS.HSF-IF.C.8B