a.
To calculate: The mean hourly temperature change.
a.
Answer to Problem 57STP
The mean hourly temperature change is
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by
Since temperature is decreasing so
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
Thus, the mean hourly temperature change is
b.
To calculate: The function that represent the situation that in a time frame of 6 hour, the temperature dropped by
b.
Answer to Problem 57STP
The function representation is
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by
Since temperature is decreasing so
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
Now denote the temperature in degree Fahrenheit by y and number of hours passed by x.
Since, the mean hourly temperature change is
Therefore, the function is modelled as
b.
To calculate: The change in temperature after 1, 3 and 5 hours and represent as a function table.
b.
Answer to Problem 57STP
The change in temperature after 1, 3 and 5 hours is depicted below,
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by
Since temperature is decreasing so
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
Now denote the temperature in degree Fahrenheit by y and number of hours passed by x.
Since, the mean hourly temperature change is
Therefore, the function is modelled as
Now, to compute the change in temperature after 1, 3 and 5 hours. Substitute x as 1, 3 and 5 and compute the corresponding value of y. The tabular representation is provided below,
After 1 hour, temperature dropped by
After 3 hours, temperature dropped by
After 5 hour, temperature dropped by
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