## If Y Varies Directly As X, And Y Is 180 When X Is N And Y Is N When X Is 5, What Is The Value Of N?

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## Answers ( 2 )

## If Y Varies Directly As X, And Y Is 180 When X Is N And Y Is N When X Is 5, What Is The Value Of N?

Understanding the concept of direct variation is essential for algebraic problem-solving. When two variables are directly proportional, it means that as one increases, so does the other, and vice versa. In this blog post, we’ll explore a classic example of this type of equation: if y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? Read on to learn more about how you can solve this problem – and others like it – with ease.

## What is a direct variation?

When two variables are in direct variation, it means that their values are directly proportional to each other. In other words, as one variable increases, the other variable also increases. For example, if y varies directly as x, and we know that y is 10 when x is 5, then we can say that the value of y will be twice as much as x when x is 10. In this case, the value of n would be 2.

## What does it mean when Y varies directly as X?

When two variables are directly proportional to each other, it means that if one variable increases, the other variable will also increase. In this case, if Y varies directly as X, and we know that Y is N when X is N, then we can say that the value of N is .

## How do you solve for N when given specific values for Y and X?

N can be solved for by plugging in the given values for Y and X into the equation . This will give you the equation . From here, you can solve for N by using algebra to solve for N.

## What is the value of N in this equation?

As we can see in the equation, if y varies directly as x, and y is when x is n and y is n when x is , then the value of n must be .

## Conclusion

In this article, we discussed the concept of direct variation and explored the question of what is the value of n when y varies directly as x and y is 180 when x is n and y is n when x is 5. We determined that in this particular case, the value of n would be 60. By understanding how to solve these problems, you can now use your knowledge to figure out similar direct variation questions with ease.

Have you ever wondered how the value of ‘N’ can be found if Y varies directly as X? Well, the answer is simpler than you thought!

Let’s say Y is 180 when X is N, and Y is N when X is 5. This means that Y is directly proportional to X. Therefore, if we know the values of Y and X at two points, then we can easily find out the value of N with a simple calculation.

To find the value of N, we have to use the formula: Y=mX+b, where m is the slope of the line, and b is the Intercept.

So, Y=mX+b; and Y is 180 when X is N, which gives us: 180=mN+b.

And, Y is N when X is 5, which gives us: N=m5+b.

Now, if we solve these two equations, we get: m=17 and b=-85.

Therefore, if we plug the value of m and b in the first equation, we get: 180=17N-85.

Solving for N, we get: N=180+85/17.

Therefore, the value of N is 11.

So, there you have it! If Y varies directly as X, and Y is 180 when X is N and Y is N when X is 5, then the value of N is 11.