Question

The relation between time taken in min (x) and distance covered in km (y) is given below. Which of the following holds true for the condition that represents the distance covered is 12 km throughout?

• A. $y=10x+12$
• B. $y=-12x$
• C. $y=12$
• D. $y=12x$

Answer 1

The correct option is C $y=12$

A function is said to be an increasing function if it has a positive slope.

A function is said to be a decreasing function if it has a negative slope.

A function is said to be a constant function if it has a zero slope.

$\text{Only the function represented by the}$
$\text{relation}y=12\text{has}\text{slope (m)}=0.$

It means that the distance travelled is 12 km throughout.

Therefore, y = 12 holds true for the condition that distance covered is 12 km throughout.