Question

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?

Answer 1

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ($T_{H}$) and low temperatures of the day ($T_{L}$), measured in degrees Fahrenheit. If we know that $T_{H} = 52\,^{\circ}F$ and $T_{L} = 45\,^{\circ}F$, then the average temperature ($T$), measured in degrees Fahrenheit, is:

$T = \frac{T_{L}+T_{H}}{2}$ (1)

$T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}$

$T = 48.5\,^{\circ}F$

And the number of heating days is:

$H = 65-48.5$

$H = 16.5$

The number of heating degree days is 16.5.