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Overview: In science class, you are studying temperature patterns for different cities in the United

States. You decide to compare temperatures in Anchorage, Alaska and Miami, Florida.
1) One morning the temperature is -28°F in Anchorage and 65°F in Miami. What is the
difference between the temperatures in Miami and Anchorage?
2) On a different day, the temperature in Anchorage was -14°F and the temperature in Miami
was 73°F warmer. What was the temperature in Miami on this day?
3) You decide to study the temperature in Anchorage more closely for one specific day. Over a
three-hour period, the temperature starts at 6°F and decreases by 2.5°F every hour. What is
the temperature in Anchorage at the end of this three-hour period?
4) You also study the temperature in Miami closely for one specific day. At sunrise, the
temperature is 52°F. From sunrise until sunset, the temperature increases by 8°F, increases
by another 17°F, and then decreases by 12°F. What is the temperature at sunset in Miami on
this day?

1 Answer

4 votes

Answer:

1) The difference between the temperatures in Miami and Anchorage is calculated by subtracting the temperature in Anchorage from the temperature in Miami. In this case, the temperature in Anchorage is -28°F and the temperature in Miami is 65°F. To find the difference, we subtract -28°F from 65°F.

65°F - (-28°F) = 65°F + 28°F = 93°F

Therefore, the difference between the temperatures in Miami and Anchorage is 93°F.

2) To find the temperature in Miami on a day when Anchorage was -14°F and Miami was 73°F warmer, we need to add the temperature difference to the temperature in Anchorage. In this case, the temperature in Anchorage is -14°F and Miami is 73°F warmer.

-14°F + 73°F = 59°F

Therefore, the temperature in Miami on this day is 59°F.

3) To find the temperature in Anchorage at the end of a three-hour period, we need to subtract the decrease in temperature from the starting temperature. In this case, the starting temperature is 6°F and the temperature decreases by 2.5°F every hour for three hours.

Starting temperature: 6°F

Decrease per hour: 2.5°F

Number of hours: 3

6°F - (2.5°F * 3) = 6°F - 7.5°F = -1.5°F

Therefore, the temperature in Anchorage at the end of the three-hour period is -1.5°F.

4) To find the temperature at sunset in Miami on a specific day, we need to calculate the changes in temperature throughout the day. In this case, the temperature at sunrise is 52°F, and it increases by 8°F, then increases by another 17°F, and finally decreases by 12°F.

Temperature at sunrise: 52°F

Temperature increase 1: 8°F

Temperature increase 2: 17°F

Temperature decrease: 12°F

52°F + 8°F + 17°F - 12°F = 65°F

Therefore, the temperature at sunset in Miami on this day is 65°F.

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