Question on slope-intercept problem XF34FY46

Hello Justin

Achievable

The y intercept will be in range between 12 and 14. considering slope is between (-1,-2/3) . The range will always be greater than 12. Why then is the data given insufficient the correct answer for this question.

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Hi, you’re right that the Quantity A, the y-intercept, will be in the range of [12, 14].

Since Quantity B is 12, this means:

  • If Quantity A is 12, it would be equal to B
  • If Quantity A is 14, it would be greater than B

Since it will not be greater than B in all cases, we can’t determine the relationship and the answer is D.