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HELP PLS ITS DUE IN A FEW MIN

Show the relationship between the number of weeks and Mike's savings using an equation.

Type your answer starting with either "W=" or "S=".


HELP PLS ITS DUE IN A FEW MINShow The Relationship Between The Number Of Weeks And Mikes Savings Using An Equation Type Your Answer Starting With Either W Or S class=

Sagot :

Answer: S = 50W + 75

Step-by-step 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!