U2 - L3 - Quiz Review - Exponential (Growth/Decay)

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

• 300
• 1.16
• .16
• x

g(x)=3(2)^{x
Find the value when x = 3}

• 216
• 24
• 18
• 28

Pick the equation that is exponential growth

• y=2(0.5)^x
• y = 0.5(2)^x
• y=x²
• y= 3x +4

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

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

• Growth
• Decay

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• 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

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

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

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year.  What is the equation that models this problem for the value of the vehicle in 3 years?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1
• y= 7650(1.14)³