Question

Which word sentence represents the equation?

Answer 1

I believe its the second one because it say four times the number wich the number is the y and it is = too the number wich is y and increased going up are adding by 9. hope that helped.

Answer 2

Answer

Four times a number equals the number increased by 9.

Explanation

Let's translate each one of our word sentences into equations:

Four times a number plus 9 is 9.

Let $y$ be the number

Four times a number is $4y$

Four times the number plus 9 is $4y+9$

"is 9" means that four times the number plus 9 is equal to nine, so:

$4y+9=9$  

$4y+9=9$ is different to our equation, $4y = y + 9$, so this is not the word sentence that represents our equation.

Four times a number equals the number increased by 9.

Again, let $y$ be the number

Four times a number is $4y$

The number increased by 9 is $y+9$

Since both are equal, our equation is: $4y=y+9$

Look! This is our given equation, so "Four times a number equals the number increased by 9." is the word sentence that represents our equation.

Let's do the last two just for fun:

Four increased by a number equals the number increased by 9.

Let $y$ be the number

Four increased by a number is $4+y$

the number increased by 9 is $y+9$

Since both are equal, $4+y=y+9$

This is not our equation.

Four times the sum of a number and 9 is the number.

Let $y$ be the number

The sum of a number and 9 is $y+9$

Four times that sum is $4(y+9)$

Since that sum is equal to the number, $4(y+9)=y$

This is not our equation.