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Select all the correct answers. Which equations represent functions? 2x + 3y = 10 4x = 16 2x − 3 = 14 3y = 18 14.6 = 2x

User Kristinn
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Answer:

2x + 3y = 10

3y = 18

Explanation:

Given equations:

  • 2x + 3y = 10
  • 4x = 16
  • 2x - 3 = 14
  • 3y = 18
  • 14.6 = 2x

A function is a special type of relationship where each input (x-value) is related to exactly one output (y-value).

The given equations are all linear equations since the highest power of each variable is one.

A linear equation with only a x-variable is a vertical line: x = a.

A linear equation with only a y-variable is a horizonal line: y = a.

A vertical line is not a function as it has only one x-value yet infinite y-values, so each input is related to infinite outputs.

A horizontal line is a function as each x-value is related to one y-value, (albeit the same y-value).

Therefore, all the given equations are functions except the equations that contain only a variable in x.

Therefore, the equations that represent functions are:

  • 2x + 3y = 10
  • 3y = 18
Select all the correct answers. Which equations represent functions? 2x + 3y = 10 4x-example-1
User Chirag Bargoojar
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