Question

If x and y are in direct variation which of the following if correct? a. (x+y) is constant b. (x-y) is constant c. xy is constant d. x/y is constant​

Answer 1

Answer:

It is given that,

x and y are directly proportional.

Hence,

yx= constant.

Now, for the first pair,  \frac{x}{y} = \frac{3}{45 } = \frac{1}{15}

Hence,

For 2nd pair,

\frac{x1}{y1} = \frac{1}{15}

= \frac{5}{y1} = \frac{1}{15}

y1 = 5 \times 15 = 75

For the 3rd pair,

\frac{x2}{y2} = \frac{x2}{90} = \frac{1}{15}

x2 = \frac{90}{15} = 6

For 4th pair,

[/tex\]\frac{x4}{y4} = \frac{10}{y4} = \frac{1}{15}

[/tex\] = 10 \times 15 = 150