X is partly constant and partly varies with y when y=5,X=19 and when y=10,X=34
1)Find the relationship between x and y
2)Find x when y=7
To find the relationship between x and y, we can subtract the initial value of x from the final value of x and divide it by the change in y.
Change in x = 34 - 19 = 15
Change in y = 10 - 5 = 5
So, the relationship between x and y is (change in x) / (change in y) = 15 / 5 = 3.
Therefore, x = 3y is the relationship between x and y.
To find x when y = 7, we can substitute y = 7 into the equation x = 3y.
x = 3 * 7 = 21.
So, x = 21 when y = 7.
1) To find the relationship between X and Y, we need to determine how X changes as Y varies.
Let's subtract the X-values when Y is 5 and 10 to see how much X changes:
- When Y = 10, X = 34
- When Y = 5, X = 19
Change in X = Final X value - Initial X value = 34 - 19 = 15
This means that X increases by 15 as Y increases by 5.
Now we can determine the relationship between X and Y:
Change in X / Change in Y = 15 / 5 = 3
Therefore, the relationship between X and Y is: X = 3Y
2) To find X when Y is 7, we can substitute Y = 7 into the equation X = 3Y:
X = 3Y
X = 3 * 7
X = 21
Therefore, when Y = 7, X is equal to 21.