Exponential Growth
Exponential Decay
Exponents
Roots
Vocabulary
100
A certain town had a population of 13,000 people. Since 1998 the population has increased 1.4% a year. What is the poplulation in 2006?
What is 14, 529. [y = 13,000 x (1.014)^x]
100
In 1990, the population of Washington, D.C. was about 604,000 people. Since then the population has decreased about 1.8% per year. Find the population in 2010.
What is 420,016 people.
100
Rewrite 2^(-3) to eliminate the negative exponent.
What is 1/8.
100
Taking the square root of x is the same as x to **this** power.
What is (1/2). x^(1/2) = square root of x
100
b in y = a(b)^x
What is the multiplier.
200
A population of 24, 500 people has been increasing at a rate of 1.8% a year. What will be the population in 15 years?
What is 32,017. [ y = 24,500 (1.018)^x ]
200
The value of a $1,200 computer decreases 27% annually. What will be the value of the computer after 3 years?
What is $466.82.
200
Rewrite (5/4)^(-2) with no negative exponents.
What is 16/25.
200
Taking the cube root of a number is the same as raising it to **this** power.
What is (1/3). x^(1/3) = cube root of x
200
a in y = a(b)^x
What is the starting value/zero term/y-intercept.
300
Write an exponential function to represent $2,000 principal earning 5.6% interest compounded annually.
What is [ y = 2000 (1.056)^x ]
300
By which percent would you multiply a number to decrease it by 3.5%?
What is 96.5%.
300
Find the quotient of (12n^5)/(8n^2)
What is 3n^(3/2)
300
What is 36^(1/2)
What is 6. (The square root of 36 = 6)
300
When b > 1, we have exponential ______________
What is growth.
400
Find the account balance on $3,000 principal earning 6.4% interest compounded quarterly for 7 years.
What is $17,040,68. [y = 3000 (1.064)^(4x) ] **x = number of years**
400
Suppose your mother buys a new car for $22,000. The value of the car decreases by 20% each year. Find the value of the car after 6 years.
What is $5,767.17.
400
Write the expression 1/27 without using a fraction bar.
What is 3^(-3)
400
The cube root of 8 is **this** number.
What is 2. 2^3 = 8.
400
To have exponential decay, b must be between ____ and ____
What is 0 and 1.
500
A $2,400 principal earns 7% compounded monthly for 10 years. What is the account balance?
What is [y = 2400(1.07)^(12 x 10) = $8,058,692.12]
500
On January 1, 2000, Chessville had a population of 40,000 people. Its population increases 7% each year. On the same day, Checkersville had a population of 60,000 people. During what year will the population of Chessville exceed that of Checkersville?
What is 6 years.
500
Find the product of 6^(-4)∙6^7. Write your answer using only positive exponents.
What is 6^3.
500
Taking the 5th root of a number means taking that number to **this** power.
What is (1/5). x^(1/5) = 5th root of x
500
This kind of interest is represented with an exponential function.
What is compound interest.
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