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Question 113

Sam says y = 7x + 3 shows direct proportion because its graph is a straight line. What is the flaw in this proportionality judgment?

  1. The coefficient 7 must be smaller than 3.
  2. A proportional graph must curve as x grows.
  3. The expression should add 7 and multiply by 3.
  4. The graph misses the origin because y is 3 when x is zero.Bonne réponse

Explication

When x is zero, the expression gives y equal to 3, so the graph does not pass through the origin and the ratio y divided by x is not constant. Calling every straight-line relationship proportional overlooks the fixed addition represented by the intercept.

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Question 113: Sam says y = 7x + 3 shows direct proportion because its… · Ratios and Proportions · Questena