Let $f(x)=\left\{\begin{array}{cc}x+6, & x \leq 1 \\ p x+q, & 1 \lt x \lt 2 \\ 5 x, & x \geq 2\end{array}\right.$ and $f(x)$ is continuous.
Question: What is the value of $q$ ?

• A

  $2$
• B

  $3$
• Correct answer
  C

  $4$
• D

  $5$

Hence, the correct answer is option: 'C'.