Question

The variable y varies directly with the variable x.

If the value of x is 14, what is the value of y?

*This isn't a multiple choice answer*

Answer 1

Answer:

y is 21

Step-by-step explanation:

In the attachment I have answered this problem.

See the attachment for detailed solution.

I hope this answer helps you

Answer 2

Answer:

y = 21

Step-by-step explanation:

The variable y varies directly to x

which means

y ∝ x

changing sign of proportionality to equality

so

y = kx                                       ...............(i)

where k is constant of proportionality

From the table

x= 2 and y= 3

put these value in equation (i)

to find value of k

y = kx

put values

3 = 2*k

k= $\frac{3}{2}$                      ..................(ii)

Now given is

x=14 to find value of y= ?

putting value of x and k in equation (i)

y= 14 *  $\frac{3}{2}$  

y = 7 * 3

y = 21