The average homeowner in Florida pays $150 per month on their energy bills. Some homeowners choose to install solar panels to reduce their monthly energy costs to an average of $55 per month. The cost of purchasing and installing solar panels is $13,250 on average.

Determine how many months it would take for the total cost of energy bills without solar panels to equal the cost of energy bills with solar panels.

By calculating the difference in monthly costs and dividing the cost of solar panels by the savings, we find that it would take around 140 months (approximately 11.67 years) for the total cost of energy bills without solar panels to equal the cost of an energy bill with solar panels.

Explanation:

To solve this problem, we first need to consider the monthly savings by using solar panels, which is the original energy bill cost ($150) minus the energy bill cost after installing solar panels ($55). This gives us a monthly savings of $95.

Next, we need to calculate how long it would take for these savings to equal the cost of purchasing and installing the solar panels. We do this by dividing the solar panels' cost ($13,250) by the monthly savings ($95). The calculated result is about 140 months.

Therefore, it will take around 140 months, which is approximately 11.67 years, for the total cost of energy bills without solar panels to cost the same as an energy bill with solar panels. After this point, the homeowner will start to save money.

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