Question

At a restaurant, $n$ cups of tea are made by adding $t$ tea bags to hot water. If $t=n+2$, how many additional tea bags are needed to make each additional cup of tea?

• A. None
• B. One
• C. Two
• D. Three

Answer 1

The correct option is B

One

Explanation for the correct option:

It is given that $t=n+2$.

Case 1: When $n=1$

$\begin{array}{rcl}t& =& 1+2\\ & =& 3\end{array}$

Case 2: When $n=2$

$\begin{array}{rcl}t& =& 2+2\\ & =& 4\end{array}$

Case 3: When $n=3$

$\begin{array}{rcl}t& =& 3+2\\ & =& 5\end{array}$

For $1$ unit increase in $n,t$ is also increasing by $1$.

The additional tea bags that are needed to make each additional cup of tea is one.

Hence, the correct option is $\left(B\right)$.