To solve the problem, we need to determine the temperature at 1:00 p.m. starting from the initial temperature of 15°F at 10:00 a.m. and noting that the temperature decreases by 15°F over the next three hours.
Starting from 15°F:
- After a decrease of 15°F, the calculation looks like this:
15°F - 15°F = 0°F.
Now let's evaluate each of the statements to see which are true:
A. The temperature was 30°F at 1:00 p.m., calculated as 15+15.
False - This miscalculates the temperature as it adds rather than subtracts.
B. The temperature was 0°F at 1:00 p.m., calculated as 15–15 or 15+(–15).
True - Correctly calculates the final temperature after the decrease.
C. The change in temperature is represented by –15, indicating a decrease of 15 degrees.
True - The change of –15 indicates a decrease in temperature.
D. The change in temperature is represented by +15, correctly indicating an increase.
False - This statement misrepresents the decrease as an increase.
E. The expression 15+(–15) represents the temperature at 1:00 p.m.
True - This expression correctly represents the calculation of the temperature after the decrease.
F. The expression 15+15 represents the temperature at 1:00 p.m., accurately showing the Decrease.
False - This incorrectly adds instead of reflecting the decrease.
Thus, the three true statements are:
- B. The temperature was 0°F at 1:00 p.m., calculated as 15–15 or 15+(–15).
- C. The change in temperature is represented by –15, indicating a decrease of 15 degrees.
- E. The expression 15+(–15) represents the temperature at 1:00 p.m.
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