In the following table of values, what would be the value of "b" in ax² + bx + c
-2 7
-1 10
0 15
1 22
2 31

Using a system of equations, it is found that the value of b in the function would be of 6.
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering that when x = 0, y = 15, we have that c = 15.
Then, when x = -1, y = 10, hence:
a - b + 15 = 10.
a - b = -5.
a = b - 5.
When x = 1, y = 22, hence:
a + b + 15 = 22.
a + b = 7.
Since a = b - 5:
b - 5 + b = 7.
2b = 12.
b = 6.
More can be learned about a system of equations at https://brainly.com/question/24342899
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