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

This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

This function represents a direct variation because it has a positive, constant rate of change of $10 per hour.

This function does not represent a direct variation because it does not represent the cost for 1 hour.

This function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.

Question

Mathematics

Raina Lowe

24 March, 10:26

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

This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

This function represents a direct variation because it has a positive, constant rate of change of $10 per hour.

This function does not represent a direct variation because it does not represent the cost for 1 hour.

This function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.

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Answers (1)

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Bridger Mueller · Answer 1

Given a linear function of the form y = mx + b, where b is the "vertical intercept," we recognize "direct variation" wherever b, the "vertical intercept," is zero (0), and m (the slope of the line) is a constant other than zero.