This video tutorial covers solving exponential growth and decay problems through various examples. It begins with an introduction to exponential equations, followed by practical problems involving rabbit population growth, car depreciation, home value appreciation, and bacteria population growth. The video explains how to use exponential formulas and logarithms to solve these problems, providing step-by-step solutions and calculations.

What is the formula for exponential growth?

• y = a + b^x

• y = a * (1 - r)^t

• y = a * (1 + r)^t

• y = a / (1 + r)^t

Tags

CCSS.HSF-IF.C.8B

By what percentage does the rabbit population increase annually?

• 10%

• 8%

• 5%

• 12%

Tags

CCSS.HSF-LE.A.1C

What is the formula used for exponential decay?

• y = a - b^x

• y = a * (1 + r)^t

• y = a * (1 - r)^t

• y = a / (1 - r)^t

Tags

CCSS.HSF-LE.A.1A

How much will the car be worth in 2024?

• $22,500.00

• $20,816.44

• $18,000.00

• $19,250.00

Tags

CCSS.HSF.BF.A.2

What is the percentage increase in the value of the home each year?

• 3%

• 4%

• 5%

• 6%

Tags

CCSS.HSF-LE.A.1C

How much did John pay for his home in 2002?

• $135,129.17

• $150,000.00

• $125,000.00

• $140,250.00

Tags

CCSS.HSF.BF.A.2

How many times does the bacteria double in an hour?

• 5 times

• 2 times

• 3 times

• 4 times

Tags

CCSS.HSF.LE.A.4

How many counts of bacteria will there be in three hours?

• 600,000 counts

• 512,000 counts

• 450,000 counts

• 500,000 counts

Tags

CCSS.HSF.LE.A.4

How long will it take for the sample to contain 500 million counts of bacteria?

• 2.75 hours

• 3.51 hours

• 4.00 hours

• 5.00 hours

Tags

CCSS.HSF.LE.A.4

What is the growth factor when the bacteria triples?

• 4

• 2

• 5

• 3

Tags

CCSS.HSF-IF.C.8B