SOLUTION: Please help me solve this problem. There's a table, and it looks kind of like this: x | 1 | 2 | 3 | 4 | 5 | ___________ ___________ __ y | 7 | 11 | 15 | 19

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Question 525766: Please help me solve this problem. There's a table, and it looks kind of like this:
x | 1 | 2 | 3 | 4 | 5 |
__________________________
y | 7 | 11 | 15 | 19 | 23 |
Find a formula that relates x and y. (Hint: y = ?)
I've tried y = +4, but it was wrong, because I cannot figure out how to relate the two.
Found 2 solutions by solver91311, scott8148:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

If you plot your points on a set of coordinate axes (-value and corresponding -value make an ordered pair that you can plot in ) it looks very much like a straight line.

A straight line has a form . So if a point is on the line represented by the solution set to that equation, then it must be true that

Likewise

Solving the 2X2 system to determine the values of the coefficients and , plugging these values back into the equation form, and then checking the other and pairings for goodness of fit in the derived model is left as an exercise for the student.

John

My calculator said it, I believe it, that settles it

Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
it looks like you saw that y changes by 4 when x changes by one

that means that x is multiplied by 4 to get y

but there is also a "fudge factor" added in (a constant term)

if you look at the pairs, you can find the factor

y = 4x + ? ___ 7 = 4(1) + ? ___ 11 = 4(2) + ? ___ the factor is 3

so the formula is ___ y = 4x + 3

SOLUTION: Please help me solve this problem. There's a table, and it looks kind of like this: x | 1 | 2 | 3 | 4 | 5 | ___________ ___________ __ y | 7 | 11 | 15 | 19 | 23 |

SOLUTION: Please help me solve this problem. There's a table, and it looks kind of like this: x | 1 | 2 | 3 | 4 | 5 | ___ _ y | 7 | 11 | 15 | 19 | 23 |