Logarithmic Functions
Name that Function
Exponential Functions
Word Problems
States and Capitals
100
3^x = 729
What is x = 6
100
y=2^2 - x^2
What is a Quadratic
100
Solve for x: 54(3)^x = 6
What is x=-2
100
You start a biology lab with 30 amoebas, and each splits into 1.75 amoeba every minute. How many amoeba will there be after one and a half hours?
What is 2.242 x 10^23 amoebas
100
Sacramento
What is California
200
log 2 (4096) = x
What is x = 12
200
7^x = 49
What is an exponential function
200
Consider the exponential equation y = 12(.06)^x. Find the decay rate.
What is 94%
200
For your birthday, you receive $150 and decide to open a savings account and invest it. The account at your local bank pays a whopping 12% interest, yearly. How much money will you have in the account after 2 years?
What is $188.16
200
Juneau
What is Alaska
300
log (2) + log (5)
What is x = 1
300
3(x^4)^2 = 12
What is a power function
300
Consider the table: x = -1, 0, 1, 2, 3 y = 1.5, 3, 6, 12, 24 Find the algebraic rule.
What is y = 3(2)^x
300
If a certain bacteria is decreasing at the rate of 3% per hour, what would the decay factor be?
What is 1 - .03 = 0.97 = DF
300
Monteplier
What is Vermont
400
2(3)^x = 14
What is x = 1.771
400
y=5^1/2
What is a power function
400
Find N(13) if N(t)=13(.6)^x. Round to 3 decimal places.
What is 0.017
400
The population of Portland, Oregon in 1990 was 437,319. Two decades later, it was 583,776. Find an exponential model to predict the population of Portland in 2020, where x represents the # of decades since 1990. Round to the nearest person!
What is 675,572 people
400
Lansing
What is Michigan
500
log base 15 (15) ^15 = x
What is x = 15!
500
Consider the table: x = -1, 0, 1, 2, 3 y = 1.5, 3, 6, 12, 24
What is an exponential function
500
Find x: log base 4 (1/64) = x
What is x = -3
500
How long would it take for $100 invested in a bank account that pays 4% yearly interest to grow to $160? Round to the nearest year.
What is approximately 12 years
500
Charleston
What is West Virginia