Interpreting Exponential Growth/Decay

What is the starting value for the function: f(x) = 800(0.85)^x?

• 800
• 0.85
• 0.15
• x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

• $800
• $8367.70
• $6600
• $25,707.36

A new savings account is opened with $400 and gains 3% every year. How can we model this?

• f(x)=400(1 + 3)^x

• f(x)=400(1 - 0.03)^x

• f(x)=400(1 + 0.03)^x

• f(x)=400(0.03)^x

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

• $415
• $463.71
• $343.49
• $460.12

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 inches 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

Is the pictured graph exponential growth, exponential decay, linear or none of these options?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Is the pictured graph exponential growth, exponential decay, linear or none of these options? 

• Exponential Growth
• Exponential Decay
• Linear
• None

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account.  What does the 1.06 tell you?

• The money is growing by 6%.
• The money is decaying by 6%. 
• The money is growing by 1.06%.
• The money is decaying by 1.06%. 

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. What should you use as the base of your exponential function?

• ^0.7
• ^1.3
• ³⁰
• 0.3