Direct Variation
In a direct variation relationship, if the x-value increases, what happen to the y-value?
The y-value also increases
The y-value decreases.
If you drive 120km in 2 hours, what is your speed?
60km/hr
What is the largest ocean on Earth?
The Pacific Ocean
How do you calculate the mean?
The sum of all values divided by the total number of values.
In the direct variation equation y = 7x, what is the constant of variation/proportionality?
7
What is the general equation for inverse variation?
Y = k/x or x = k/y
A runner’s heart beats 450 times in 3 minutes. What is their heart rate in beats per minute?
150 beats per minute
What is the hardest naturally occurring substance on Earth?
A diamond
The lower quartile and the upper quartile
If y varies directly as x, and y = 15 when x = 3, what is the constant of variation/proportionality?
5
32
If a train travels at exactly 80km/h on a straight track for its entire three-hour journey, is this an example of a constant rate or a variable rate?
A constant rate of speed
In what year did astronauts Neil Armstrong and Buzz Aldrin become the first humans to walk on the moon?
1969
In statistics, what does the standard deviation tell you about a dataset?
It tells you how spread out the numbers are from the average. (A low standard deviation means the data is tightly clustered).
Y varies directly as x. if y = 24 when x =6, find the value of y when x = 10.
Y = 40
Y varies inversely as x. If y = 5, when x = 10, find the value of y when x = 2.
Y = 25
Show the Rate Graph
What type of rate is shown? If possible, calculate the rate shown.
What is the only mammal capable of true, sustained flight?
The Bat
What is the difference between correlation and causation?
Correlation means two things trend together, but causation means one specifically makes the other happen. (E.g. ice cream sales and sunburns are correlated but eating ice cream doesn’t cause sunburns).
The cost of buying movie tickets varies directly with the number of tickets bought. If 3 tickets cost $36, how much will 8 tickets cost?
$96
The time it takes to clean a park varies inversely with the number of volunteers. If it takes 4 volunteers 6 hours to clean the park, how long would it take 8 volunteers?
3 hours
Show the Rate Graph
Describe what is happening at point E, F and G.
Which country is home to both the Great Pyramid of Giza and the Suez Canal?
Egypt
Find the equation of my line of best fit.
Y = 3x/5 +7/5