What is the constant of proportionality for m=32•g

∴ Constant of Proportionality is 32

Step-by-step explanation:

Here Given;

 (equation-1)

 (equation-2) (divide with 'g' on both side)

We know,

The Constant of Proportionality equation is given;

 (equation-3)

Where 'k' is known as Constant of Proportionality.

Comparing equation-1 and equation-3;

and

Now equation-2 become;

Plug and in above equation;

 (equation-4)

By comparing equation-2 and equation-4;

So Constant of Proportionality is 32

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)