y(9/1 + 0.625 x 254/365) + (1 - 0.875 x 116/365) - round all your coefficents to 4 decimal places 

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steveschoen | College Teacher | (Level 1) Associate Educator

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To solve this problem, we sue the order of operations, or PEMDAS.  Or:

1) parenthesis

2) exponents

3) multiplication and division left to right

4) addition and subtraction left to right

Probably biggest thing with this is an example like:

9-3+4

Students get use to doing the addition first.  But, addition and subtraction are all done at the same time.  When there are several of them to do, we are suppose to start left to right.  So, we do subtraction first, 9-3 = 6.  Then, we add 4 for 10.

Back to our problem:

y = (9/1 + 0.625 x 254/365) + (1 - 0.875 x 116/365)

So, we do what's inside the parenthesis first.  in the first one, we still have division, addition, multiplication, and division to do.  So, we do the multiplication and division first, left to right.  So:

y = (9 + 158.75/365) + (1 - 0.875 x 116/365)

y = (9 + 0.4349315) + (1 - 0.875 x 116/365)

y = (9.4349315) + (1 - 0.875 x 116/365)

For the second parenthesis, we have subtraction, multiplication, and division.  So, we do the multiplication and division first:

y = (9.4349315) + (1 - 101.5/365)

y = (9.4349315) + (1 - 0.27808219)

y = (9.4349315) + (0.721917808)

So, adding these together and rounding to 4 places:


10.1568

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