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QUESTION

A solar water heater costs about $5,400 to install (after rebates). A traditional gas water heater costs about $900, and costs about $400 per year to...

  1. A solar water heater costs about $5,400 to install (after rebates). A traditional gas water heater costs about $900, and costs about $400 per year to run. The average annual cost to run the solar water heater is about $80.
  2. Create total cost functions for each of the water heaters as a function of the number of years that it is used. Explain each one.
  3. Gas Water Heater Cost Function:
  4. Explain:
  5. Solar Water Heater Cost Function:
  6. Explain:
  7. Graph these functions on the same set of axes in an appropriate window, labeling axes and scale.
  8. Find the total cost for each water heater after 10 years:
  9. Gas Water Heater:
  10. Solar Water Heater:
  11. How many years would you need to use solar water heater in order for the total cost to become less than the total cost of the gas water heater? Explain:
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