Explanation:
A
our costs are : $500 to just start the rental. and then $10 per day.
that gives us the linear equation
C = 10x + 500
B
revenue is the total amount of income. just, how much money is coming in before we have to pay something else with it.
that gives us the linear equation
R = 110x
C
the "solution" to this system of equations is most likely meant to find the point, where both equations are equal.
R = C
or
110x = 10x + 500
100x = 500
x = 5
that means, after renting the cottage out for 5 days we reach the "break-even" point, where the money coming in compensates the costs completely, and from here on out we start actually making a profit.