The temperature outside was 72 degrees at 6 am. The temperature rose 4 degrees per hour for the next 12 hours. The total temperature is a function of the number of hours the temperature rose. What was the temperature at noon?
(write the equation as a function)
need help!!!!!!!!
T = 4h + 72 , 0 < h < 12, where h is the number of hours
at noon , h = 6
T = 72 + 4(6) = 96
thank you very much i appreciate it
To find the temperature at noon, we need to determine how much the temperature has risen in 6 hours (from 6 am to 12 pm). Given that the temperature rises by 4 degrees per hour, we can set up an equation:
Temperature at noon = Temperature at 6 am + (Temperature rise per hour × Number of hours)
Let's break down the steps:
1. Start with the temperature at 6 am, which is given as 72 degrees.
2. Calculate the temperature rise per hour, which is stated as 4 degrees.
3. Determine the number of hours from 6 am to noon, which is 6 hours.
4. Multiply the temperature rise per hour (4 degrees) by the number of hours (6 hours): 4 × 6 = 24 degrees.
5. Add the calculated temperature rise to the temperature at 6 am: 72 + 24 = 96 degrees.
Therefore, the temperature at noon would be 96 degrees.
In equation form, the function would be:
Temperature at noon = 72 + (4 × 6)
or
Temperature at noon = 72 + 24
or
Temperature at noon = 96.