Exponential Functions Review

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

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

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ
• a_n = 7(-1)ⁿ
• a_n = 7(-1)^n-1
• a_n = -1(7)^n-1

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Write the equation that represents this situation.

• y = 6x + 2

• y = 2x + 6

• y = 6(2)^x

• y = 2(6)^x

Tags

CCSS.HSF-BF.A.1A

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = 128x + 0.5

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(0.5)^x-1

Tags

CCSS.HSF.LE.A.2

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

What is the rate of decay?

y = 3(.10)^x

• r = 3%

• r = .10%

• r = 90%

• r = 0.3%

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

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680