Which equations represent functions? More then one answer.
A. 2x + 3y = 10
B. 4x = 16
C. 2x − 3 = 14
D. 3y = 18
E. 14.6 = 2x
you need (x,y) pairs where no x is used twice.
So, if there is no y, then it's not a function.
To determine which equations represent functions, we need to check if each equation satisfies the criteria of a function. A function is a relation where each input (x-value) is associated with exactly one output (y-value).
Let's analyze each equation:
A. 2x + 3y = 10
This equation is not a function because for each x-value, there are multiple possible y-values that would satisfy the equation.
B. 4x = 16
This equation is a function. For each x-value, there is only one corresponding y-value that satisfies the equation.
C. 2x − 3 = 14
This equation is a function. For each x-value, there is only one corresponding y-value that satisfies the equation.
D. 3y = 18
This equation is a function. It can be rewritten as y = 6, which means for any x-value, the y-value is always 6.
E. 14.6 = 2x
This equation is a function. It can be rewritten as x = 7.3, which means for any y-value, the x-value is always 7.3.
Therefore, the equations B, C, D, and E represent functions.