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

Independent means on your own, or by yourself. This means that we're trying to isolate the q onto one side of the equation. To do that, we need to get rid of what 6 somehow. How? divide by 6. Your answer is $q= \frac{3s-9}{6}$. But wait! You can simplify this. Your final answer should be $q= \frac{s-3}{2}$

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Answer 2

Answer:

$f(q)=2q+3$

Step-by-step explanation:

We have been given an equation $6q=3s-9$. We are asked to write the equation in function notation, where q is the independent variable.

First of all, we will separate variable s on one side of our given equation using opposite operations.

$6q=3s-9$

Switch sides:

$3s-9=6q$

Add 9 on both sides:

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

$3s=6q+9$

Divide both sides by 3:

$\frac{3s}{3}=\frac{6q}{3}+\frac{9}{3}$

$s=2q+3$

Upon writing our equation as a function, we will get:

$f(q)=2q+3$

Therefore, our required function would be $f(q)=2q+3$.