Question

Write an equation to represent the function displayed in the table.
input,x 1 2 3 4 5
output,y 5 10 15 20 25

This is for 5th grade math.

Answer 1

It looks as if we are taking the input number and multiplying it by 5 to get the corresponding output number.

So, (1,5) because 1*5 = 5

(2,10) because 2*5 = 10

(3,15) because 3*5 = 15 and so on.

@damantegss4 Do you see the pattern?

Answer 2

@Directrix yes I do.

Answer 3

Okay.

Answer 4

If the input number is called x, and the output number is called y, then we want to make an equation that will represent the pattern we saw.

Answer 5

Let's try some things.

Answer 6

Output = input times 5

Agree @damantegss4

Answer 7

yes, agreed

Answer 8

Y = x + 5 --> Would or could this equation output 5 for an input of 1?

Answer 9

Take a guess. What do you think?

Answer 10

I think it could

Answer 11

Let's check.

Answer 12

Y = x + 5 --> Would or could this equation output 5 for an input of 1?
--------------------------------------------------
Output = Input + 5
5 = 1 + 5 ?? ----> Yes or No @damantegss4

Answer 13

no that equals 5 =6

Answer 14

Alrighty. Let's try something else. We know we need a 5 in the equation somewhere.

Back where we first saw the pattern, we both agreed that we thought this is true:

we are taking the input number and multiplying it by 5 to get the corresponding output number.

Answer 15

>>input number and multiplying it by 5
----------------------------------------------

We are multiplying the input number x by 5.

@damantegss4 Want to make a conjecture (educated guess) about what y is equal to in this equation we are making?

y = ? --> We know a "5" is a part of the equation. We know x is a part of the equation.

Answer 16

5x

Answer 17

Yes.

Answer 18

But, an equation is like a sentence in English. We need a subject, verb, and predicate.

Answer 19

So, y = 5x is the equation.

I always check a few inputs and outputs of my equations after I write the equation to test myself to see if I made an error.

Answer 20

We can look at this at a glance and determine if the output is 5 times the input above the output:

input,x 1 2 3 4 5
output,y 5 10 15 20 25

I think this y = x + 5 is correct.

What about you @damantegss4 --> do you think it is correct?

Answer 21

I think it is.

Answer 22

Good work there, @damantegss4

Answer 23

Thanks @Directrix

Answer 24

It was fun.

Answer 25

Yes it was.