Question

Check all of the ordered pairs that satisfy the equation below.y=2/5x

Answer 1

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

`y=(2)/(5)\cdot x=(2)/(5)\cdot25=(2\cdot25)/(5)=(50)/(5)=(5\cdot10)/(5\cdot1)=10`

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

`y=(2)/(5)\cdot14=(28)/(5)`

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

`y=(2)/(5)\cdot40=(80)/(5)=16`

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

`y=(2)/(5)\cdot10=(20)/(5)=4`

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

`y=(2)/(5)\cdot50=(100)/(5)=20`

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

`y=(2)/(5)\cdot30=(60)/(5)=12`

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation