To find the temperature at 4 PM, we need to determine how many half-hour intervals there are from noon to 4 PM.
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Calculate the total time from noon to 4 PM:
From noon (12:00 PM) to 4 PM is 4 hours. -
Convert hours to half-hour intervals:
\(4 \text{ hours} = 8 \text{ half-hour intervals}\) -
Determine the temperature drop:
The temperature drops 3 degrees every half hour.
Total drop over 8 intervals = \(8 \times 3 = 24\) degrees. -
Calculate the temperature at 4 PM:
Starting temperature at noon = 75 degrees F.
Temperature at 4 PM = \(75 - 24 = 51\) degrees F.
Thus, the temperature at 4 PM is 51 degrees F.