Answer: S = 50W + 75
Explanation:
I got to this answer by a bit of trial and error.
I first noticed that the relationship between the balance in the savings account from week to week was increasing by 50.
But when I tried W = S + 50, that did not work at all because when I plug in 125 for S, I should get 1 for W, but instead I get 175. So I realized I had something backwards.
I then tried listing the relationship as ordered pairs of (W, S).
For example I did (1, 125), (2, 175), (3, 275) and so on. So I thought of S like y and W like x where S is a function of W. I used the equation y = mx +b or S=mW + b as an outline. I figured that W would have to be multiplied by 50 to get that jump between the numbers in the S column. But I could not do S=50W + 125 because if W = 1, S = 175 when S should equal 125. So I subtracted 50 from the 125 and got 75. So my final equation was S=50W+75. If you test it with the ordered pairs listed above, you will see that the equation checks out. Try it yourself! I hope this was helpful in some way. Good luck!