Question

For all real numbers $b$ and $c$ such that the product of $c$ and $3$ is $b$, the expression which represents the sum of $c$ and $3$ in terms of $b$ is

• A. $b+3$
• B. $3b+3$
• C. $3(b+3)$
• D. $\frac{b+3}{3}$
• E. $\frac{b}{3}+3$

Answer 1

The correct option is E $\frac{b}{3}+3$

In the question, it is given that the product of $c$ and $3$ is $b$.

Thus, $3c=b\to \left(1\right)$

$\therefore c=\frac{b}{3}$

Now, we have to find the sum of $c$ and $3$:

$c+3=\frac{b}{3}+3$

Thus the required sum is : $\frac{b}{3}+3$