The mathematical equation that reads, "c is directly proportional to the cube of d"
What is c=kd3 ?
100
The team that won the 2012 Super Bowl
Who are the New York Giants?
100
Suppose W varies directly as the fifth power of z, and W=96 when z=2. Find the constant of variation.
k = 3
100
23
What is 8 ?
200
The asymptotes of the graph y = -7⁄x
What is x=0 and y=0 ?
200
This is how you say y=k⁄x
What is "y varies inversely as x" OR "y is inversely proportional to x" ?
200
An example of two things in your life that are directly related (have direct variation)
(varied)
Example:
Amount of sleep and energy level
200
Consider the equation p=11⁄s2. How does the p value change when s is multiplied by 8?
p is divided by 82=64
200
33
What is 27 ?
300
A viewing window that would allow us to see both parts of the graph
y=3⁄x2
What is -10 <x<10 AND 0 <y<10
300
The mathematical equation that is read, "a varies jointly as b and the fourth power of c"
What is a=kbc4 ?
300
A wildly popular British band that came out with such hits as "While My Guitar Gently Weeps" and "Blackbird"
Who are The Beatles ?
300
Consider the equation a=-5⁄b2. What happens to a when b is multiplied by 5?
a is divided by 52=25
300
(1⁄2)2
What is 1⁄4 ?
400
An example of an equation where the graph is only in the 3rd and 4th quadrants and has asymptotes at x=0 and y=0
What is y = -k⁄x2 ?
400
If an decrease in the independent variable leads to an increase in the dependent variable, we have this type of variation.
What is inverse/indirect variation ?
400
The holy day of obligation celebrated by Western Christains. It is the day after Halloween.
What is All Saint's Day?
400
The number of girls varies directly as the number of boys and inversely as the number of teachers. When there were 50 girls, there were 20 teachers and 10 boys. How many girls were there when there were 30 boys and 100 teachers?
There were 30 girls.
400
(2⁄3)2
What is 4⁄9
500
The asymptotes of the graph y = -6⁄x2
What is x=0 and y=0 ?
500
Consider the equation y = 3x2. What happens to the y value when x is multiplied by 4?
y is multiplied by 42=16
500
The name of the phase change from a solid to a gas. A common example of this is dry ice.
What is sublimation?
500
Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses, there were 4 pigs and only 2 goats. Write a variation equation that models the situation (after finding k).