Final answer:
The equation that expresses the total fee is 10 + 2x, and the solution is x = 31.
Step-by-step explanation:
To find the equation that expresses the total fee in terms of the number of days the payment is late, we can use the information given:
Let x be the number of days the payment is late. The late fee for each day is $2. So the total fee can be expressed as 10 + 2x, where 10 is the initial late fee.
To solve the equation, set the total fee equal to the amount paid ($72) and solve for x:
72 = 10 + 2x
Subtract 10 from both sides: 72 - 10 = 2x
Simplify: 62 = 2x
Divide both sides by 2: 62/2 = x
x = 31