Exponential functions, growth and decay

Classify the model as Exponential GROWTH or DECAY and state the % of increase or decrease.

A=1200(.85)⁶

• Decay 85% decrease

• Decay 15% decrease

• Growth 1.5% increase

• Decay 1.5% decrease

Tags

CCSS.HSF-IF.C.8B

Classify the model as Exponential GROWTH or DECAY and state the % of increase or decrease.

A=10(1.01)³

• Growth 10% increase

• Decay 10 % decrease

• Growth 1% increase

• Decay 1 % decrease

Tags

CCSS.HSF-IF.C.8B

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

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 = 5000(0.3)^x

Tags

CCSS.HSF.LE.A.2

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

• 14327

• 4309

• 839

• 7680

Tags

CCSS.HSF-LE.A.1C

Find the total amount of interest earned to the nearest cent if the interest is compounded annually.

$2750 at 8% for 2 years

• $2200

• $3207.60

• $8910

• $457.60

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

Tags

CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2