Question

Cindy wants to predict how much energy she will use to heat her home based on how cold it is outside. The table below shows the mean amount of gas per day (in cubic meters) that Cindy used each month and the average temperature that month (in degrees Celsius) for one heating season.


Temperature (degrees Celsius): 0.0, 2.0, 4.5, 7.2, 10.0, 12.8
Gas used (cubic meters): 22.0, 17.0, 16.7, 14.2, 12.0, 6.0

Answer 1

gas used /total temperature

87.9/35.5

so the average temperature would have been 2.498C

Answer 2

average temperature=(0.0+2.0+4.5+7.2+10.0+12.8)/6 degree celsius

                                  = 36.5/6

                                 = 6.083

                                 = 6.1 degree celcius

average gas is used =(22.0+17.0+16.7+14.2+12.0+6.0)/6

                                 = 87.9/6

                                 = 14.65

                                 = 14.7 cm^3 of air

so, total energy used in each day = (6.1+14.7)

                                                        = 20.8 joule.