Final answer:
The temperature in Alaska at 6:00pm will be -14 °F, calculated by subtracting the cumulative drop in temperature (24 °F) from the initial temperature (10 °F) at noon.
Step-by-step explanation:
If the temperature in Alaska is 10 °F at noon and it drops by 4 °F per hour, we can calculate the temperature at 6:00pm by multiplying the number of hours from noon to 6:00pm by the rate of temperature drop and subtract that from the starting temperature. From noon to 6:00pm is 6 hours. Therefore:
Temperature drop = 6 hours × 4 °F/hour = 24 °F
Temperature at 6:00pm = Starting temperature - Temperature drop
Temperature at 6:00pm = 10 °F - 24 °F = -14 °F