Question

Y is partly a constant and partly varies of X if y =40 when X=1 and y=13 When X=2,find the value of y when X=3

Answer 1

To find the value of y when X=3, we can use the given information that y is partly a constant and partly varies with X.

Given:
When X=1, y=40
When X=2, y=13

Let's determine the constant part of y by finding the difference between these two values:
Constant part = y(X=1) - y(X=2) = 40 - 13 = 27

Now, we can use the constant part and the given information to find the variable part of y when X=3.
Variable part = y(X=2) - Constant part = 13 - 27 = -14

Finally, we can find the value of y when X=3 by adding the variable part to the constant part:
y(X=3) = Constant part + Variable part = 27 + (-14) = 13

Therefore, when X=3, y=13.