Experiment question- energy consumed from single shower

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Homework Statement


Not really a problem but more of an experiment.
Attempting to measure the amount of energy used for one typical shower
I have come up with these units, I need help figuring out the energy being consumed through the shower water use and shower water cost. Some equations would be very helpful.

Average Shower Time: 17 Minutes
Shower Head Water Usage: 2.5 gallons (U.S. Average) per minute
Water Cost: $2.00 per 1,000 gallons (U.S. annual average for price)
Water Heater Usage energy type: Electric
Cost of Water Heater Usage: $0.17 per kWh
Water Temperature: Calculated at approximately 61 degrees Fahrenheit
Shower Temperature: Calculated at approximately 115 degrees Fahrenheit



Homework Equations


the issue is I am not sure what equation needs to be used to solve for energy


The Attempt at a Solution


Dont have an attempt without the equations
 
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Q = mcΔT

You know the mass, you can look up the specific heat capacity and you can calculate by how much you want to heat the water by.