Exponential Algebra

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

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

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

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

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

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

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289^17 = 1/2

• 1/2^17 = 289

Tags

CCSS.HSF.BF.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(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Using the table below, find the equation that matches

• y = 20(2)^x

• y = 20(1/2)^x

• y = 2(20)^x

• y = 20(1.25)^x

Tags

CCSS.HSF.LE.A.2

What is the equation for the graph of the exponential function?

• y = 4(2)^x

• y = (4)^x

• y = (2)^x

• y = 2(4)^x

Tags

CCSS.HSF.LE.A.2