Question

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

f(q) = 2s + 3

f(q) = 2q + 3

Answer 1

Answer: The correct option is (B) f(q) = 2q + 3.

Step-by-step explanation: The given equation representing a function is

`6q=3s-9~~~~~~~~~~~~(i)`

We are to write the equation in function notation with 'q' as independent variable.

From equation (i), we have

`6q=3s-9\\\\\Rightarrow 3s=6q+9\\\\\Rightarrow s=2q+3.`

So, 's' can be represented as a function of 'q'. Hence, we can write

`s=f(q).`

Therefore, we have

`f(q)=2q+3.`

Thus, (B) is the correct option.