Question

Mary French uses gas to heat her home. She has accumulated the following information regarding her monthly gas bill and monthly heating degree-days. The heating degree-days value for a month is found by first subtracting the average temperature for each day from 65 degrees and then summing these daily amounts together for the month. Month Heating Degree-Days Gas Bill February 1,900 $195 April 600 $78 The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is:

Answer 1

Answer:

$Y= 24+0.09X$

Step-by-step explanation:

From the question we are told that

February Heat $H_1=1900\textdegree$

February Gas $G_1 =\ 195$

April Heat $H_2=600\textdegree$

April Gas $G_2=\ 78$

Generally equation for heating degree-days X is mathematically given by

 $X=\frac{\triangle gas\ bills}{\triangle Heating\ days}$

 $X=\frac{195-78}{1900-600}$

 $X=\ 0.09$

Generally the equation for gas bill Y is mathematically represented by

 $Y=78-(600*0.09)\\Y=\ 24$

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

 $Y= 24+0.09X$