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.