Answer: the panel will pay for itself in approximately 36 months
Step-by-step explanation:
Let x represent the number of months before the panel pays for itself.
It cost him $1,512 to purchase the panel and $263 to have it installed. This means that the total cost of purchasing and installing the solar panel would be
1512 + 263 = $1775
If he saves an average of $50 a month, it means that in x months, he would save 50x
At the point where the total amount saved equals the total cost of purchasing and installing the panel, then
50x = 1775
x = 1775/50
x = 35.5
Approximately 36 months