Question

Tell whether the two quantities vary directly. Explain your reasoning. 23. the number of ounces of cereal and the number of Calories the cereal contains

Linear equations and graphs
ANSWERED
asked 2021-03-06
Tell whether the two quantities vary directly. Explain your reasoning. 23. the number of ounces of cereal and the number of Calories the cereal contains

Answers (1)

2021-03-07
Two quantities, y and x, vary directly if y=kx where k is the constant of proportionality. The equation y=kx is a linear function with a y-intercept of 0 so two quantities vary directly if their relationship can be modeled by a linear function with a y-intercept of 0.
As the number of ounces of cereal increases, the number of Calories would also increase by a constant rate. The relationship between the two quantities can then be modeled by a linear function since there is a constant rate of change. If there are 0 ounces of cereal, there would be 0 Calories so the linear function has a yy-intercept of 0.
Therefore, the two quantities vary directly.
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