Question

Describe how to write 3x+2y=12 in function notation.assume that y represent the dependent variable.

Answer 1

To write this function in function notation all you would need to do is rearrange the equation for y.

3x + 2y = 12

3x - 3x + 2y = 12 - 3x

2y = 12 - 3x

2y/2 = 12/2 - 3x/2

Y = 6 - 3/2 X or

Y = -3/2 X + 6.

Answer 2

`y=(12-3x)/(2)`

Explanation:

Given equation,

3x + 2y = 12

For writing an equation in the function notation we need to isolate the dependent variable in the left side of the equation,

Here, the dependent variable is y,

`\implies 2y = 12-3x`

`\implies y=(12-3x)/(2)`

Which is the required function formula.