Graph y=4^x. Find the y intercept and state the domain and range.
What is y intercept=1; domain = all real numbers, range: y>0
100
What is the equation for exponential growth?
What is y = a(1+r)^t
100
The median house price in the United States increased an average of 1.4% each year between 2005 and 2007. Assume this pattern continues. Predict the median house price in 2018.
What is $288, 864
100
Determine whether the following sequence is geometric, arithmetic, or neither. Explain.
0, 8, 16, 34, 32
What is arithmetic, the common difference is 8
100
Find the first five terms of the sequence in which a1 = 8, and an = -2a(n-1) + 5, n>2.
What is -8, 21, -37, 79, -153
200
Determine whether the following data is exponential in nature:
X: 5 8 11 14
Y: 2 6 18 54
What is yes
200
What is the equation for exponential decay?
What is y = a(1-r)^t
200
In the years from 2010 to 2015, the population of the District of Columbia is expected to decrease about 0.9% annually. In 2010, the population was about 530,000. What is the population of the District of Columbia expected to be in 2015?
What is 506, 575
200
Determine whether the following sequence is arithmetic, geometric, or neither. Explain.
1/2, 1/4, 1/16, 1/32, 1/64
What is geometric, the common ratio is 1/2
200
Write a recursive formula for this sequence:
23, 29, 35, 41
What is a1 = 23, an = a(n-1) +6, n>2
300
Graph y = 3(1/4)^x. State the y-intercept and the domain and range.
What is y intercept = 3, Domain = all real numbers, Range: y>0
300
What is the equation for compound interest
What is A = P(1+(r/n))^nt
300
A radioactive element's half life is the time it takes for one half of the element's quantity to decay. The half-life of Plutonium-241 is 14.4 years. The number of grams A of Plutonium-241 left after t years can be modeled by
A=p(0.5)^(t/14.4), where p is the original amount of the element. How much of a 0.2 gram sample remains after 72 years?
What is 0.00625
300
Find the next three terms in the sequence.
24, 36, 54 81
What is 121.5, 182.25, 273.375
300
Write a recursive formula for the sequence:
7, -21, 63, -189
What is a1 = 7, an = -3a(n-1), n>2
400
Daniel deposited $500 into a savings account and after 8 years his investment is worth $807.07. The equation
A = d(1.005)^12t models the value of Daniel's investment A after t years with an initial deposit d. What would the value of Daniel's investment be if he had deposited $1000?
What is $1614.14
400
What does the a stand for in the compound interest formula
What is the original amount
400
Camilo purchased a rare coin from a dealer for $300. The value of the coin increases 5% each year. Determine the value of the coin in 5 years.
What is $382.88
400
Write an equation for the nth term of the sequence
-6, 12, -24, 48
What is an = -6(-2)^(n-1)
400
Find the first five terms of the sequence:
a1 = 23, an = a(n-1) +7, n>2
What is 23, 30, 37, 44, 51
500
Explain how you determine whether a set of data displays exponential behavior.
What is make sure the domain values are at regular intervals and that the range values differ by a positive common ratio.
500
How does interest work?
What is interest is money that you pay back on loans OR you get interest added to your savings account for allowing the bank to invest your money.
500
Santos invested $1200 into an account with an interest rate of 8% compounded monthly. Use a calculator to approximate how long it will take for Santos's investment to reach $2500.
What is about 9.2 years
500
The first term of a geometric sequence is 2 and the common ratio is 4. What is the 14th term of the sequence?
What is 4,782,969
500
The growth of a tree slows as the tree continues to age. The heights of the tree over the past four years are given below:
10 ft, 11 ft, 12.1 ft, 13.31 ft
Write a recursive formula for the height of the tree.