Proportional Relationships Answers

10 verified answers
6

Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit.Equivalent TemperaturesCelsius–1051020Fahrenheit14415068Which explains how Corrine could determine if the temperatures vary directly?

A
Compare the equivalent temperatures as a ratio; if the ratios are equivalent, then the temperatures vary directly.
B
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
C
Write an equation that converts one temperature to another; if the temperatures satisfy the equation, then they vary directly.
D
Look for a pattern in the table; if the pattern is consistent, then the temperatures vary directly.
9

Which explains whether or not the graph represents a direct variation?

Question illustration
A
The graph has a constant of variation of 3, so it represents a direct variation.
B
The graph has a slope of 3, so it represents a direct variation.
C
The graph has a positive slope, so it does not represent a direct variation.
D
The graph does not begin at the origin, so it does not represent a direct variation.

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