7
QuizMultiple Choice

Proportional Relationships

Question 7 • WI-Mathematics Grade 8 A

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?

Answer
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.

Explanation

For two quantities to vary directly, their ratio must stay constant: Fahrenheit ÷ Celsius should be the same for every pair. Corrine can compare the equivalent temperatures as ratios; if those ratios are equal, the temperatures vary directly. A straight-line graph alone is not enough, because a direct variation must also pass through the origin.

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