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)
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To find the temperature at noon, we need to determine how much the temperature increased from 6 am to 12 pm.
We know that the temperature rose by 4 degrees per hour, and we need to consider the time period from 6 am to 12 pm, which is 6 hours.
To calculate the total temperature increase, we can multiply the rate by the time, so we have:
Temperature increase = 4 degrees/hour × 6 hours = 24 degrees
Since the starting temperature at 6 am was 72 degrees, we can calculate the temperature at noon by adding the temperature increase to the starting temperature:
Temperature at noon = Starting temperature + Temperature increase
Temperature at noon = 72 degrees + 24 degrees
Temperature at noon = 96 degrees
Therefore, the temperature at noon is 96 degrees.
To express this relationship as a function, we can define the function T(x), where x represents the number of hours since 6 am:
T(x) = 72 + 4x
In this function, T(x) gives the temperature in degrees Fahrenheit at a given number of hours since 6 am.