Final answer:
To estimate the heat index when the temperature is 100°F and the relative humidity is 75%, we can use the given information about the change in temperature and heat index. By calculating the change in heat index per degree increase, we can estimate the heat index at 100°F.
Step-by-step explanation:
To estimate the heat index when the relative humidity is 75% and the temperature is 100°F, we can use the information given. We know that for every 1 degree increase in temperature from 94°F to 97°F at 75% relative humidity, the heat index rises 4°F. We also know that on a summer day with a relative humidity of 75% and a temperature of 94°F, the heat index is 124°F. So, we can calculate the change in heat index with respect to temperature and use that to estimate the heat index at 100°F.
Given that the change in temperature is 97°F - 94°F = 3°F and the change in heat index is 4°F, we can calculate the change in heat index per degree increase as 4°F / 3°F = 1.33°F. Now, we can calculate the estimated heat index at 100°F by multiplying the change in temperature (100°F - 94°F = 6°F) by the change in heat index per degree increase (1.33°F):
Estimated heat index = Change in temperature * Change in heat index per degree increase = 6°F * 1.33°F = 7.98°F.
Therefore, the estimated heat index when the relative humidity is 75% and the temperature is 100°F is approximately 7.98°F higher than the heat index at 94°F, which would be 124°F + 7.98°F = 131.98°F.