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Which word sentence represents the equation?




4y = y + 9




Four times a number plus 9 is 9.


Four times a number equals the number increased by 9.


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


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

Verified Answer :

SnowApple24

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.

cerverusdante

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.

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