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

`Y=$24+0.09X`

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=(\triangle gas\ bills)/(\triangle Heating\ days)`

`X=(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`