Question

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independent variable.

Answer 1

basically they want you to solve for q
6q=3s-9
divide both sides by 6
q=1/2s-3/2

Answer 2

Given the equation:

`6q = 3s -9`

Add 9 to both sides we have;

`6q+9= 3s -9+9`

Simplify:

`6q+9= 3s`

Divide by 3 to both sides we have;

`(1)/(3)(6q+9)=s`

Using the distributive property,
`a \cdot (b+c) = a\cdot b+ a\cdot c`

`2q+3 = s`

or

`s = 2q+3` where, q is independent variable and s is the dependent variable.

Use notation: s = f(q)

Therefore, the equation in function notation:

`f(q) = 2q+3`, where q is the independent variable