QUESTION IMAGE
Question
problem #3:
the outdoor temperature was cool in the early morning and then rose steadily until noon. from noon until late afternoon, the temperature remained constant. the temperature dropped steadily for a few hours and then remained constant. which graph represents the relationship between time and temperature?
incorrect solution:
graph a is correct. the temperature starts low, rises a little, holds steady (constant), and then drops at the end.
explain the mistake:
correct answer:
Explain the Mistake:
The incorrect solution misinterprets the temperature changes. The problem states the temperature rose steadily until noon (should be a constant - slope increase, not a small rise), remained constant until late afternoon (Graph A has an unnecessary rise after the constant period), and then dropped steadily (constant - slope decrease) and remained constant. Graph A has an extra increase after the constant period, which doesn’t match the problem’s description.
Correct Answer:
C. The graph (C) shows: starts low, rises steadily (constant slope) until noon, remains constant until late afternoon, drops steadily (constant slope) for a few hours, then remains constant - matching all the temperature - time relationships described.
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Explain the Mistake:
The incorrect solution misinterprets the temperature changes. The problem states the temperature rose steadily until noon (should be a constant - slope increase, not a small rise), remained constant until late afternoon (Graph A has an unnecessary rise after the constant period), and then dropped steadily (constant - slope decrease) and remained constant. Graph A has an extra increase after the constant period, which doesn’t match the problem’s description.
Correct Answer:
C. The graph (C) shows: starts low, rises steadily (constant slope) until noon, remains constant until late afternoon, drops steadily (constant slope) for a few hours, then remains constant - matching all the temperature - time relationships described.