The temperature at 5 am was -28 degrees F. The temperature at 2pm was 17 degreesf. If the temperature changed at a constant rate from 5am to 2pm what was the temperature at 6am?
(17-(-28))/(14-5) = 5deg./h.
T = 5deg./h * (6-5)h = 5 Degrees.
To find the temperature at 6 am, we need to determine the rate at which the temperature changed between 5 am and 2 pm and apply that rate to the time difference between 5 am and 6 am.
First, let's calculate the total change in temperature from 5 am to 2 pm. The temperature at 5 am was -28 degrees F, and the temperature at 2 pm was 17 degrees F. To find the change in temperature, we subtract the initial temperature from the final temperature:
Change in temperature = Final temperature - Initial temperature
Change in temperature = 17 degrees F - (-28 degrees F)
Change in temperature = 17 degrees F + 28 degrees F
Change in temperature = 45 degrees F
Next, we calculate the time difference between 5 am and 2 pm. Since there are 24 hours in a day, the time difference between 5 am and 2 pm is 9 hours:
Time difference = 2 pm - 5 am
Time difference = 14 hours - 5 hours
Time difference = 9 hours
Now, we can calculate the rate of change in temperature per hour:
Rate of change = Change in temperature / Time difference
Rate of change = 45 degrees F / 9 hours
Rate of change = 5 degrees F per hour
Finally, using the rate of change, we can calculate the temperature at 6 am by applying the rate to the time difference:
Temperature at 6 am = Initial temperature + (Rate of change * Time difference)
Temperature at 6 am = -28 degrees F + (5 degrees F per hour * 1 hour)
Temperature at 6 am = -28 degrees F + 5 degrees F
Temperature at 6 am = -23 degrees F
Therefore, the temperature at 6 am was -23 degrees F.