Writing Exponential Equations from a Story Problem
Writing in Scientific Notation
Converting from Scientific Notation to Standard Form
Vocabulary
100
Write the exponential equation of the following table:
x 1 2 3 4
y 3 9 27 81
What is y=3^x
100
Write an exponential equation from the following story:
A peasant made a deal with the king to work for 1 dollar the first day and have the amount double for the first 5 days.
What is y=2^(x-1)
100
Convert the following to scientific notation:
1,276
What is 1.276 x 10^3
100
Change the following to standard form:
5.46 x 10^(-4)
What is 0.000546
100
Define Exponent
What is the small number that tells you how many times a base will be multiplied by itself.
200
Write the exponential equation of the following table:
x 1 2 3 4
y 1 4 16 64
What is y= 4^(x-1)
200
Write an exponential equation from the following story:
A rabbit population started with 5 rabbits the first year, and quadrupled in size for the next 10 years.
What is y=5* (4^(x-1))
200
Convert the following to scientific notation:
0.00000546
What is 5.46 x 10^(-6)
200
Change the following to standard form:
3.456 x 10^3
What is 3,456
200
Define Base
What is The large number in front of the exponent that is multiplied by itself.
300
Write the exponential equation of the following table:
x 1 2 3 4
y .5 1.5 4.5 13.5
What is y= (0.5)(3^(x-1))
300
Write an exponential equation from the following story:
You are doing a science experiment to see how fast algae grows in a fish bowl, the first measurement yielded an algae growth of 3, it tripled in growths for the next 5 days.
What is y=3^x
300
Convert the following to scientific notation:
0.00000000089
What is 8.9 x 10^(-10)
300
Change the following to standard form:
1.9876 x 10^(-5)
What is 0.000019876
300
Define Growth Factor
What is a fixed number that is being multiplied in an exponential equation.
400
Write the exponential equation of the following table:
x 1 2 3 4
y 9 18 36 72
What is y=9* (2^(x-1))
400
Write an exponential equation from the following story:
A classmate can complete a 2x2 rubiks cube in .5 minutes, and it triples in time it takes to solve for each size increase of the cubes.
What is y= (0.5) (3^(x-2))
400
Convert the following to scientific notation:
1,234,567
What is 1.234567 x 10^6
400
Change the following to standard form:
3.456 x 10^5
What is 345,600
400
Define Standard Form
What is The short hand version of writing the exponential equation, or the answer of an exponential equation.
500
Write the exponential equation of the following table:
x 1 2 3 4
y 5 25 125 625
What is y=5^x
500
Write an exponential equation from the following story:
A rabbit population was at 64 rabbits for the first year, when wolves were introduced to the area the following year the rabbit population was down to 32, and the next year the rabbit population was down to 16.
What is y=64 * 1/2^(x-1)
500
Convert the following to scientific notation:
2,700,000,000
What is 2.7 x 10^9
500
Change the following to standard form:
6.8995 x 10^15
What is 6,899,500,000,000,000
500
Define Exponential Form
What is The long version of writing out an exponent, multiplying the base as many times as the exponent states.