Answer:
To determine which solution does not represent a function, you need to check if each set of x and y values follows the definition of a function, which states that each x-value (input) can map to only one y-value (output). Let's examine each option:
A. x = 2, 4, 6, 8, 10
y = 0, 5, 10, 15, 20
This represents a function because each x-value has a unique corresponding y-value.
B. x = 1, 2, 3, 7, 11
y = 1, 8, 8, 12, 16
This represents a function because each x-value has a unique corresponding y-value.
C. x = 5, 10, 10, 10, 15
y = -5, -4, -3, -2, -1
This does not represent a function because the x-value 10 maps to multiple y-values (-4, -3, -2), violating the definition of a function.
D. x = -2, -1, 0, 1, 2
y = -3, -4, -5, -6, -7
This represents a function because each x-value has a unique corresponding y-value.
So, the solution that does not represent a function is option C.