Question

What is the constant of proportionality of the function in the given table?

Time (in min)	Depth (in m)
2	-24
4	-48
6	-72

• A. -12
• B. -3
• C. -6
• D. -24

Answer 1

The correct option is A -12

Time in min (x)	Depth in m (y)
2	-24
4	-48
6	-72

From the table, we observe:
At time x = 2 min, y = -24 m
At time x = 4 min, y = -48 m
At time x = 6 min, y = -72 m

$\text{To find the constant of proportionality,}$
$\text{we need to find the value of}\frac{y}{x}.$

$\text{Constant of proportionality =}\frac{y}{x}$

$=\frac{-24}{2}=-12$

Continuing for second and third values from the table, we see:
$\text{Constant of proportionality =}\frac{-48}{4}=\frac{-72}{6}=-12$