Question

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

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

Answer 1

The correct option is B y = 12

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

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

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

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

From the above options, only function y = 12 has slope = 0 which means the distance is 12 mi throughout.

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