Write as a ratio in simplest form:
I can run 4,500 feet in 30 minutes.
4,500/30
450/3
150 feet per minute
100
Write an example of a ratio
Any fraction, x : y, or x to y
100
Is this an arithmetic sequence? If yes, what is the common difference? 4, 9, 14, 19 ...
Yes, d = 5
100
What is another name for the constant of variation?
Slope/Constant of Proportionality
100
Define ratio
A ratio is a comparison of two quantities. (Fraction, x :y, x to y)
200
Write as a ratio in simplest form:
If it my university is 315 miles away, how far do I need to drive each hour to make it there in 5 hours?
315÷5=63 miles per hour
200
Is y = -2/3x proportional or nonproportional?
proportional
200
Find the next three terms of the sequence
-2, -1.75, -1.50, -1.25, ...
-1, -0.75, -0.50
200
Suppose y varies directly as x, and y = 98 when x = 14. Write a direct variation equation that relates x and y.
y = 7x
200
Rate of change is anther name for?
Slope
300
If the average human takes 12 breaths per minute, how many breaths does the average person take in one hour?
12 * 60= 720 breaths per hour
300
Is y = -3x -1 proportional or nonproportional?
nonproportional
300
Write the equation for the nth term in the sequence
-3, -8, -13, -18...
-5n + 2
300
Suppose y varies directly as x, and y = 72 when x = 8. Write a direct variation equation that relates x and y.
y = 9x
300
What makes a sequence arithmetic?
Adding or subtracting the same amount to get to each subsequent term
400
If you need to shoot 25 free throws by the end of practice and there's only 13 minutes left, how many free throws would you have to make per minute to reach your goal?
25÷13= 1.923 free throws per minute
400
x: 0, 1, 2, 3, 4
y : 0, 3, 6, 9, 12
Is the relationship proportional or nonproportional?
Proportional
400
Write an equation for the nth term in arithmetic sequence
-11, -15, -19, -23,...
-4n - 7
400
Y varies directly as x. If y = 15 when x = 12, find y when
x = 32
y = 5/4x
x = 40
400
Define direct variation. (What equation should we always think about?)
y=kx.
500
If the Bugatti Veyron can travel at 267 miles per hour and the German Autobahn is 6,800 miles long, how long would it take to drive the Veyron the length of the Autobahn?
6,800÷267=25.468 hours
500
What should you do to check to see if a graph represents a proportional relationship?
Check to see if the y-intercept is zero.
500
Shannon and her friends spent the day at Six Flags. In the first hour, they rode two rides. After two hours, they had ridden 4 rides. They had ridden 6 rides after three hours. Write a function to represent the arithmetic sequence.
y = 2x
500
Distance a jet travels varies directly as the number of hours is files. A jet traveled 3420 miles in 6 hours. How many hours will it take to travel 6500 miles?
11.4 hours
500
Other than "slope", what is another name for the constant of variation?