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Read this word problem.\newlineIn the morning, the temperature in Westfield City was 2F-2 \, ^{\circ}\mathrm{F}. By afternoon, a north wind caused the temperature to drop another 8F8 \, ^{\circ}\mathrm{F}. What was the afternoon temperature in Westfield City?\newlineTo solve the problem, Martin subtracted 2(8)-2 - (-8) and came up with an answer of 6F6 \, ^{\circ}\mathrm{F}. Is Martin correct? Why or why not?\newlineChoices:\newline(A) Yes, Martin is correct.\newline(B) No. The answer should have been 6F-6 \, ^{\circ}\mathrm{F}, not 6F6 \, ^{\circ}\mathrm{F}, because the temperature dropped.\newline(C) No. Martin should have subtracted 28-2 - 8 because the temperature started at 2F-2 \, ^{\circ}\mathrm{F} and dropped by 8F8 \, ^{\circ}\mathrm{F}.

Full solution

Q. Read this word problem.\newlineIn the morning, the temperature in Westfield City was 2F-2 \, ^{\circ}\mathrm{F}. By afternoon, a north wind caused the temperature to drop another 8F8 \, ^{\circ}\mathrm{F}. What was the afternoon temperature in Westfield City?\newlineTo solve the problem, Martin subtracted 2(8)-2 - (-8) and came up with an answer of 6F6 \, ^{\circ}\mathrm{F}. Is Martin correct? Why or why not?\newlineChoices:\newline(A) Yes, Martin is correct.\newline(B) No. The answer should have been 6F-6 \, ^{\circ}\mathrm{F}, not 6F6 \, ^{\circ}\mathrm{F}, because the temperature dropped.\newline(C) No. Martin should have subtracted 28-2 - 8 because the temperature started at 2F-2 \, ^{\circ}\mathrm{F} and dropped by 8F8 \, ^{\circ}\mathrm{F}.
  1. Initial Temperature: The initial temperature was 2F-2 \, ^\circ\mathrm{F} in the morning.
  2. Temperature Drop: The temperature dropped by 8F8 \, ^{\circ}\mathrm{F} in the afternoon.
  3. Subtraction Calculation: To find the new temperature, we subtract 8°F8 \,\text{°F} from the initial temperature: 2°F8°F-2 \,\text{°F} - 8 \,\text{°F}.
  4. Perform Subtraction: Perform the subtraction: 28=10-2 - 8 = -10.
  5. Afternoon Temperature: The afternoon temperature in Westfield City was 10F-10 \, ^{\circ}\mathrm{F}.
  6. Incorrect Calculation: Martin's calculation was 2(8)=6F-2 - (-8) = 6 \, ^\circ\mathrm{F}, which is incorrect.

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