Which equation represents a direct variation?
y = 2x
Y=x+4
Y=1/2x
Y=3/x

If  

y

is directly proportional to  

x

, then we can write

y

=

k

x

,

where  

k

is the constant of proportionality.

If you solve for  

k

, we have

k

=

y

x

,

which is the ratio of  

y

to  

x

.

Hence, the constant of proportionality is the ratio between two quantities that are directly proportional.

Inverse Variation

If  

y

is inversely proportional to  

x

, then we can write

y

=

k

x

,

where  

k

is the constant of proportionality.

If you solve for  

k

, we have

k

=

x

y

,

which is the product of  

x

and  

y

.

Hence, the constant of proportionality is the product of quantities that are inversely proportional.

I hope that this was helpful.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!