Growth
Decay
Exponential Functions
Percent Growth and Decay
Compound Interest
100

The range of value b

What is b>1?

100

The range of value b

What is 0<b<1?

100

A bacteria population is 10,000. It triples each day.

Which variable is independent? dependent?

What is independent=day and population=dependent? 

100

A person's salary is $2,500 per month. She receives a 10% raise. Write the expression. 

What is 2500(1.1)?

100

Value of n, When Compounded quarterly

What is n=4?

200

Account A starts with a balance of $200 and doubles every year. The amount in 3 years is

What is 1600?

200

A new bicycle sells for $300. It is on sale for 1/4% off the regular price. What is the expression?

What is 300(1-1/4)?

or

What is 300(3/4)?

200

The area covered by a city is 20 square miles. The area grows 6% each year since it was 20 square miles.

What is the equation in t years?

What is y=20(1.06)t?

200

Han’s summer job paid him $4,500 last summer. This summer, he will get a 25% pay increase from the company.

What is his Salary in 2 years

What is $7031.25?

200

Compounded semi-annually with a 26% annual interest rate .

What is the common factor? 

What is 0.13 or 13%?

300

Bank account C starts with $10 and triples each week. The Bank will have how much money in 5 weeks


What is $2430?

300

What is the amount of coral 3 years before scientist studied the coral. Y=1200(2)^t 

What is 150?

300

What is the average rate of change for the mold over 3 days? 

days      mold(mm)

 0           1

 1           2

 2           4

 3           8

What is 2.3?

300

The number of grams of a chemical in a pond is defined by f(x)=50(1/2)x

What is the average rate of change between day 0 and day 1?

What is about -25 grams? 

300

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.

Write an expression to represent how many trees will be left in 10 years.

What is 2.5 (0.995)12(10)?


400

Before a road trip, a car odometer reads 15,000 miles. During the trip, the car travels 65 miles per hour. How many miles in 5 hours?

What is 15325?

400

A phone that originally sold for $800 loses 3/5 of its value each year after it is released. After 2 years what is the phone worth?


What is $128?

400

After its second bounce, a ball reached a height of 80 cm. The rebound factor for the ball was 0.7. From approximately what height, in cm, was the ball dropped?

What is about 163?

400

Lin opened a savings account that pays 5(1/4)%  interest annually and deposited $5,000.

If she makes no deposits and no withdrawals for 3 years, how much money will be in her account?

What is $5,829.57?

400

A person charges $100 to a credit card with a 24% nominal annual interest rate.

Assuming no other charges or payments are made, find the balance on the card, in dollars, after 1 year if interest is calculated: every 3 months

What is $126.25?

500

The height of a plant in mm is 7. It doubles each week. What expression represents the height in 4 weeks

What is 7(2)4?

500

Acetaminophen is a common pain reliever and fever reducer. Here are two points showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose.

(0,1000)

(1,750)

Write an equation representing the amount of medicine remaining after t hours. 

What is y=1000(3/4)t ?

500

The number of grams of a chemical in a pond is a function of the number of days, d, since the chemical was first introduced. The function, f , is defined by f(d)=550 (1/2)^d  

What is the average rate of change between day 0 and day 7?

What is about -78 grams?

500

The equation c=400 (1.03)m  represents the number of customers  it has in terms of the number of months m.

If y is time in years, write an equation for the number of customers c as a function of the number of years y after the introduction of the ordering system.

what is c=400(1.03)12(y) ?

500

A credit card company compounds interest monthly, it calculates 2% per month. Initial value of $300

How much does the cardholder owe after 1 year without payment? What is the effective APR of this credit card?

What is About $380.47 in one year? 

 What is effective annual percentage rate  26.8%?

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