Variation
The point shown is an element of a direct variation. Plot two points, other than the point shown, that are also elements of this direct variation.
https://docs.google.com/presentation/d/15fd7rDrJvxf-zIofuuU-J4pM9H1ppp_D13BQX78SSJE/edit#slide=id.p
B: (0,0)
E: (-2,-4)
Use the line of best fit, what is the equation that most closely represents this data?
y=2x-3
In which table does y vary directly with x?
A
Two relationships are described
Relationship S: Karen drove 100 miles in 2 hours, and then she drove 150 miles in 3 hours.
Relationship T: Vernon cooked 6 hamburgers in 12 minutes, and then he cooked 9 hamburgers in 18 minutes.
Which statement is true about these relationships?
A. Neither relationship is direct variation.
C. Both relationships are direct variations.
C. Only Relationship S is a direct variation.
D. Only Relationship T is a direct variation.
C. Both relationships are direct variations.
Use the line of best fit, what is the equation that most closely represents this data?
y=-1/2x+5
The relation is an inverse variation {(-3,4),(-2,6),(-1,12)}.
Which equation represents this relation?
A. y=x+7
B. y=-4/3x
C. y=-x/12
D. y=-12/x
D. y=-12/x
In which table does y vary inversely with x?
D
Using the quadratic curve of best fit, which equation most closely represents the set of data?
D. It is an inverse variation because
y= 12x
Ms. Douglas will pay $3,500 to have her house painted. The amount each painter earns, A, varies inversely for the number of painters, n, that will paint the house. Which equation best represents this situation?
A. A=3,500+n
B. 3,500=A+n
C. 3,500=An
D. A=3,500n
C. 3,500=An
Based on a quadratic model, approximate the fuel economy at 42 mph.
30.5 gallons
Using the equation of the line of best fit, which number is the best prediction of the output when the input is 13? {(-5,9),(2,31),(9,143),(11,151),(0,42),(5,97)}
170.16
An experiment is conducted on a container of gas that is kept at a constant temperature.
-When the pressure on the gas is 20 pounds per square inch, the volume is 160 cubic inches.
-When the pressure on the gas is 40 pounds per square inch, the volume is 80 cubic inches.
-Let p represents the pressure on the gas -Let v represent the volume on the gas.Which statement is true about the relationship?
A. The volume of the gas varies directly with the pressure because v=8p
B. The volume of the gas varies directly with the pressure because vp=3,2000
C. The volume of the gas varies inversely with the pressure because v=8p
D. The volume of the gas varies inversely with the pressure because vp=3,2000
D. The volume of the gas varies inversely with the pressure because vp=3,2000
What is the equation of best fit that best represents the data?
y=0.86x-1635.73