Review - Growth and Decay - Gable

Growth

100

In 2020, Joe's Pizza had a large pizza for $12. The price has been increasing 15% each year. What an equation for the price of a large pizza in 2025.

12(1+.15)^5

200

In 2020, Joe's Pizza had a large pizza for $12. The price has been increasing 15% each year. What will be the price of a large pizza in 2025? 

about $24

300

In 2020, Joe's Pizza had a large pizza for $12. The price has been increasing 15% each year. How many years until the price of a pizza is over $30? 

7 years

Compound Interest

100

$300, compounded monthly, at a rate of 3% for ten years

$405

200

$2500, compounded weekly, at a rate of 5% for three years

$2,904

300

$5000, compounded quarterly, at a rate of 15% for ten years

$21,802

Exponent Rules

100

7⁵ x 7¹⁰

7¹⁵

200

8^10/8^3

8⁷

300

(5^2)^6

5¹²

Decay

100

In 2020, Joe's Pizza had an average of 2,000 customers per day. The number of customers has been declining by 8% each year. Write an equation to represent the number of average daily customers in 2027.  

2000(1 - .08)⁷

200

In 2020, Joe's Pizza had an average of 2,000 customers daily. The number of customers has been declining by 8% each year. What is the number of average daily customers in 2027? 

1,116 customers

300

In 2020, Joe's Pizza had an average of 2,000 customers daily. The number of customers has been declining by 8% each year. How many years until Joe has less than 500 daily customers?

17 years 

Other

100

Write the formula for growth and decay: 

a(1 + r)^t  and  a(1 - r)^t

200

Write the formula for compound interest: 

a(1+r/n)^(nt)

300

Anything to the power of 0...

equals 1