82.5k views
1 vote
Select all the correct answers. Which equations represent functions? 2x + 3y = 10 4x = 16 2x − 3 = 14 3y = 18 14.6 = 2x

User Kristinn
by
7.9k points

1 Answer

5 votes

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
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories