Final answer:
The equation representing the total money Stanley earns in a week as a function of the number of times he walks the dog is y = 5 + 2x.
Step-by-step explanation:
The equation to represent how the amount of money Stanley gets in a week, denoted as y, based on the number of times he walks the dog, denoted as x, can be written as follows:
y = 5 + 2x
This linear equation starts with Stanley's weekly allowance of 5, which is the y-intercept or the base amount he receives without walking the dog. For every time Stanley walks the dog, he earns an additional 2. The variable x represents the number of times Stanley walks the dog in a week, and y represents the total money he earns in that week.