Question

If y varies directly with x, and y = 35 when x = 5, find x when y = -7

A. 1
B. 7
C. -1
D. -5

Answer 1

It is C
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Answer 2

`x = -1`

Explanation:

This is a case of direct proportionaly, that is:

`y \propto x`

`y = k\cdot x`

Where k is the proportionality constant, which is:

`k = (y)/(x)`

`k = (35)/(5)`

`k = 7`

The value of x when y = -7 is:

`x = (y)/(k)`

`x = -(7)/(7)`

`x = -1`