Which word sentence represents the equation?
4y = y + 9
Four times a number plus 9 is 9.
A.Four times a number equals the number increased by 9.
B.Four increased by a number equals the number increased by 9.
C.Four times the sum of a number and 9 is the number.
Answers
Answer:
Option 2 would be correct...Four times a number equals the number increased by 9
Step-by-step explanation:
Hello there!
Let's turn your equation, 4y = y + 9, into word form...
4y = y + 9 ⇒ Four times y equals y + 9.
Do we see anything like that? Well, the first option says:
"Four times a number plus 9 is 9"
Well, right off the bat we can see that they got the first part right. Four times a number is in the equation, but right after that is says plus 9 is 9. We know that there is only one 9, so, that one is off the list.
The second option says:
"Four times a number equals the number increased by 9."
In this one, we can also see that the first part is right. (Four times a number) It also says that it equals the same number increased by nine. Well, the equation this could be saying is 4y = y + 9. And your equation was 4y = y + 9, right? Therefore, it's looking like this one is the answer. But lets look at the other two...
The third option says:
"Four increased by a number equals the number increased by 9."
Immediately, we know this one is not an option. The second word is increased and increased has to do with addition. We start to add on the other side of the equation. Some of you might be going, "But iVxsoz, you can increase in multiplication too!" Well, that's not really the case. Increasing means you're adding something to something that already exists. In multiplication, we are multiplying, or, times. When you times a number you are adding equal groups. So, this one is not an option
The fourth and last option says:
"Four times the sum of a number and 9 is the number."
In this last one, it says, "Four times the sum of a number" Then it also says that 9 is the number. Just like option 3, we can call this out right away. Why? Well, it never really told us "equals to (number)". Because what they are saying is 4x+9=? The number given is unknown, making this not an answer
Finally, all done. After looking at all four of these options, we can classify that option b is the most logical answer.
That's your question done! I hope I made it clear enough and I hope you have a great day :)