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Exponential Rules
Word Problems
Growth Rate/Factor
Write the Equation
VOCABULARY
100
Simplify the following: (give your answer as one number without an exponent) 8^9*8^7
What is 64
100

The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number of years it takes for the population to grow to 42,500.

What is approximately 9 years

100

Use y = 250(1.2)^t What is the y-intercept?

What is 250

100

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

What is y= 422,000(1.12)^t

100

When a thing gets very large very quickly.

What is Exponential Growth

200
Simplify the following: (5a^3)^5
3125a^15
200
$1,200 is invested at an annual rate of 3.2%. Find the number of years it will take for the account balance to be $1,480.
What is approximately 6.7 years
200

Use y = 250(1.2)^t What is the growth factor?

What is 1.2

200
The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.
What is y = 20,000(1.13)^10 and population of 67,891
200

This is the factor by which the equation grows or decays?

What is the Growth factor

300
Simplify the following: 5a^-2b^7
What is 5b^7/a^2
300
The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 2.7%. Find the number of years ago that the population was 30,000.
What is approximately 13 years
300

Use y = 250(1.2)^t What is the growth rate?

What is 20%

300
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is y = 154(1.032)^x
300

This is also called the INPUT VALUE...

What is (t) or time value

400
Simplify: (3a^3b^2)^3
27a^9b^6
400
The value of a stock when purchased was $10 a share. The stock grew at a monthly rate of 7%. Find the number of months it took to reach a value of $15.75 a share.
What is approximately 6.7 months
400

y = 9.8(1.35)^t What is the growth factor?

What is 1.35

400
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
What is y = 2500(.985)^x
400

This means the same as the ending amount or 

Y -values.

What is the OUTPUT?

500
Simplify: (-2a^-3b^6)^-3
a^9/(-8b^18)
500
The value of a stock when purchased is $10 a share. The stock decreased at a rate of 3% daily. Find the number of days it took for the stock to be worth $7.40.
What is almost 10 days (approximately 9.9 days)
500

y = 9.8(1.35)^t What is the growth rate?

What is 35%

500
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to predict the number of fish in the lake in 10 years.
What is y = 2500(.985)^10
500

The beginning amount is also known as.

What is the INITIAL AMOUNT or y - intercept?