Writing and Evaluating Exponential Functions

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

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

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

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

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-LE.A.1C

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Tags

CCSS.HSA.CED.A.1

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

Tags

CCSS.7.RP.A.3

x       y
0       3
1       6
2     12
3      24

• y = 3(2)^x 
• y = 2(3)^x
• y = 3(3)^x
• y = 2 (1/3)^x

Tags

CCSS.HSF.LE.A.2

x         y
0       32
1       16
2        8
3        4

• y = 32(1/2)^x 
• y = 32(2)^x
• y = 4(2)^x
• y = 4 (1/2)^x

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 10000 cells and dies by 40% each year. Write an equation that represents this situation.

• y=10000(0.6)^x
• y=30(5000)^x
• y=5000(1.6)^x
• y=5000(1.4)^x

Tags

CCSS.HSF.LE.A.2