Exponentials: Week 2 Review

Exponentials: Week 2 Review

What makes up the equation?

a is the ______________

b is the ______________

Growth/Decay Factors

• Growth Factors: the b is ________________

• Decay Factors: the b is _________________

Exponential Word Problems

• x: define the independent variable

• y: define the dependent variable (what are you measuring?)

• a: what is the initial amount?

• b: what is the growth/decay factor

• y = Write the equation

• Solution: Solve the problem. Create a table or use the equation

Multiple Choice

Mrs. Pizzarello was helping clean out the staff refrigerator when she found 4 colonies of bacteria in a dish. Mrs. Pizzarello decided to use it as a science experiment. Every hour the number of colonies triples.

What is the initial amount?

• 3

• 4

Multiple Choice

Mrs. Pizzarello was helping clean out the staff refrigerator when she found 4 colonies of bacteria in a dish. Mrs. Pizzarello decided to use it as a science experiment. Every hour the number of colonies triples.

True or False: This situation is exponential decay.

• True

• False

Multiple Choice

Mrs. Pizzarello was helping clean out the staff refrigerator when she found 4 colonies of bacteria in a dish. Mrs. Pizzarello decided to use it as a science experiment. Every hour the number of colonies triples.

What is the growth factor?

• 3

• 4

Multiple Choice

Mrs. Pizzarello was helping clean out the staff refrigerator when she found 4 colonies of bacteria in a dish. Mrs. Pizzarello decided to use it as a science experiment. Every hour the number of colonies triples.

Write the exponential equation for this situation.

• y=4(3)x

• y = 4(3)^x

• y=3(4)

Multiple Choice

A state park currently has a population of 200 squirrels. The population doubles every 6 years. How many squirrels will there be in 12 years?

What is the initial amount of squirrels?

• 12

• 6

• 2

• 200

Multiple Choice

A state park currently has a population of 300 squirrels. The population doubles every 5 years. How many squirrels will there be in 10 years?

What is the growth factor?

• 200

• 2

• 12

• 6

Multiple Choice

A state park currently has a population of 300 squirrels. The population doubles every 5 years. How many squirrels will there be in 10 years?

Solve the problem.

• 307,200 squirrels

• 9600 squirrels

• 1200 squirrels

Multiple Choice

John invested in a 1995 Nixxan 240sx and put modifiactions into it. The car was initially valued at $ 8660. The value of the car decreases by 10% each year. How much will the car be worth in 4 years?

What is the initial amount?

• $1995

• $240

• $8660

• $4

Multiple Choice

Alex invested in a 1995 Nixxan 240sx and put modifiactions into it. The car was initially valued at $ 8,660. The value of the car decreases by 10% each year. How much will the car be worth in 4 years?

What is the decay factor?

• 10%

• 0.10

• 90%

• 0.90

Multiple Choice

Alex invested in a 1993 Nixxan 240sx and put modifiactions into it. The car was initially valued at $ 8,660. The value of the car decreases by 10% each year. How much will the car be worth in 4 years?

Solve the problem.

• $86,6000

• $0.866

• $5681.83

• $2450