Question

Suppose Y varies directly with X and Y equals 10 when X equals -3 what direct variation equation relates XNY what is the value of Y when X equals -1

Answer 1

Expression: Y = -10/3 X

Y = 10/3

Explanation:

If Y varies directly as X, then;

Y∝X

Y = kX

k is the constant of variation

If Y = 10 and X = -3

10 = -3k

k = -10/3

Substitute k = -10/3 into the expression Y = kX

Y = -10/3 X

This gives the required expression

To get the value of Y when X = -1

Recall that Y = kX

Y = -10/3 (-1)

Y = 10/3

Hence the value of Y is 10/3