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

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 [tex]q= \frac{3s-9}{6} [/tex]. But wait! You can simplify this. Your final answer should be [tex]q= \frac{s-3}{2}[/tex]

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ApusApus ApusApus · Answer 2 · 2019-07-24T14:06:55+02:00

Answer:

[tex]f(q)=2q+3[/tex]

Step-by-step explanation:

We have been given an equation [tex]6q=3s-9[/tex]. 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.

[tex]6q=3s-9[/tex]

Switch sides:

[tex]3s-9=6q[/tex]

Add 9 on both sides:

[tex]3s-9+9=6q+9[/tex]

[tex]3s=6q+9[/tex]

Divide both sides by 3:

[tex]\frac{3s}{3}=\frac{6q}{3}+\frac{9}{3}[/tex]

[tex]s=2q+3[/tex]

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

[tex]f(q)=2q+3[/tex]

Therefore, our required function would be [tex]f(q)=2q+3[/tex].