4/30 Homework Grade

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x
• y=5^x
• y=5(3x)
• y=15^x

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

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

Give the rate of decay:
y = 35(0.65)^x

• 35%
• 65%
• .35%
• 165%

Joe deposits $500 in an account with 3% interest compounded quarterly for a period of 5 years. What expression would you type into the calculator to calculate the total amount of money Joe will have after the 5 year period?

• 500(1+.03)⁴⁽⁵⁾

• 500(1+.03/4)⁽⁴⁾⁽⁵⁾

• 500(1+3)⁵

• 500e^(.03)(5)

Does the following equation model growth or decay?
y=500(.35)^x+7

• Growth
• Decay

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

If g(x) is a transformation of f(x), describe the transformation.

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

 If g(x) is a transformation of f(x), describe the transformation.

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units