Final answer:
The correct function to calculate Logan's savings over w weeks is S = 10w + 35, combining his initial savings with his weekly earnings.
Step-by-step explanation:
The function that can be used to find s, the amount of money Logan will have saved at the end of w weeks of washing dishes, is S = 10w + 35. This function represents a linear relationship between the weeks Logan works and the amount saved. The initial amount saved from cutting the neighbor's yard, $35, is the y-intercept, and the $10 he earns each week from washing dishes is the slope of the function, representing additional savings per week.