SOLUTION: I'm working on function tables right now and the x values are 12,24, 26, and the
y values are 5, 10, 15. I'm having trouble finding the equation for the table.
Can you help me?
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-> SOLUTION: I'm working on function tables right now and the x values are 12,24, 26, and the
y values are 5, 10, 15. I'm having trouble finding the equation for the table.
Can you help me?
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Question 1149957: I'm working on function tables right now and the x values are 12,24, 26, and the
y values are 5, 10, 15. I'm having trouble finding the equation for the table.
Can you help me? Answer by Edwin McCravy(20059) (Show Source):
x | 12 | 24 | 26 |
y | 5 | 10 | 15 |
We can assume it is of this form,
a quadratic function:
f(x) = Ax² + Bx + C
f(12) = A(12)² + B(12) + C = 5
= 144A + 12B + C = 5
f(24) = A(24)² + B(24) + C = 10
= 576A + 24B + C = 10
f(26) = A(26)² + B(26) + C = 15
= 676A + 26B + C = 15
So we have the system of equations:
Solving that system gives
So one function that fits the data of the table is:
Edwin