Follow the Rules
What Exponent Rule is shown here?
(3x^3y^7)^2
Power Rule
What is the y-intercept of the following exponential function?
y=20,500(1.5)^x
20,500
What is the name of the number that multiplies again and again in a geometric sequence?
Common Ratio
If a plumber walks into a house, he automatically charges $50. He also will charge $19.95 per hour of work.
What linear equation would this create?
y=19.95x+50
What rules are shown here?
(2x^3y^-2)/(8x^4)^2
Quotient Rule
Power Rule
Negative Exponent Rule
What determines whether or not the asymptote will be at y=0 in an exponential function?
If there is any + or - after the parentheses and exponent.
How do I know if a sequence has a common ratio that is negative?
The numbers in the sequence will flip flop between positive and negative.
The thickness of the the ice of a frozen pond is slowly decreasing by 0.5 inches every day. If the pond started with 20 inches of ice, what equation represents this situation?
y=-0.5x+20
Simplify the expression.
2x^6*(3x^5)/(2x^3)
3x^8
If y = a(b)x represents an exponential decay function, what are the possible values of b?
Anything between 0 and 1.
0 < b < 1
Is this a geometric sequence?
12, 48, 162, 768...
If not, explain why.
No
common ratio is 4, and the third term should be 192.
The thickness of the the ice of a frozen pond is slowly decreasing by 0.5 inches every day. If the pond started with 20 inches of ice, how long will it take for the pond to fully melt?
40 days
Simplify this expression
(14x^5y^3*3x^4y^9)/(6x^3y^4)
7x^6y^8
What would be the equation for this word problem?
Millie's parents bought a house in 1980 for $28000. Every Decade the house increases in value by 23%. What would be the value of the house in 2020?
(Don't Solve, just set up the equation.)
y=28000(1.23)^4
Whats the common ratio of this sequence?
500, 200, 80, 32 ...
2/5
or
0.4
The amount of popcorn in the machine started at 3.5 cups and is increasing by 5 cups every hour. If Mr. Stierholz makes popcorn for 6 class periods (6 hours) What equation would represent this function, and how many cups of popcorn would he have made in total?
33.5 Cups of popcorn
y=5x+3.5
Simplify
(4x^2y^3)^3/(2x^5y^2)^2
(16y^5)/x^4
A sample of bacteria doubles every hour. The sample started with just 2 Bacteria cells. How many Bacteria cells would there be after 24 hours?
y=2(2)^24
33,554,432 Cells
Find the 9th term of this geometric sequence.
-32, -16, -8, -4, ...
-0.125
or
-1/8
Create a word problem that simulates this equation.
y=12x+33
Simplify this radical Expression
sqrt(100x^8y^6)
10x^4y^3
BOOOOOMMMM.
The Chernobyl power plant just exploded. The radiation it gave off measured at 20,000 Roentgen per hour. The equivalent of 500 nuclear bombs, dropping every hour.
IF the radiation levels were to reduce by 50% every Century, What would be the radiation level after 5 centuries?
625 Roentgen (500 Roentgen is still fatal)
y=20,000(1-.5)^5
Mr. Stierholz Bought his car at $45,000. The next year it was worth $36,000. The year after it was worth $28,800.
What will his car be worth the next year?
$23,040
Spider-Man was swinging through New York at 45 miles per hour. He was on his way to a crime scene that was 12 miles away. How long will it take him to get there? (Answer in Minutes.)
16 Minutes