Question

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The options are not given; however, the solution is as follows;

$3y = 27x$

Required

Determine relationships with the same constant of proportionality (k)

$3y = 27x$

Divide both sides by 3

$\frac{3y}{3} = \frac{27x}{3}$

$y = \frac{27x}{3}$

$y = 9x$

The relationship between y, x and k is:

$y = kx$

Comparing $y = kx$ with $y = 9x$; then

$k = 9$

Hence, any of the options with k=9 answers the question.

Take for instance:

$2y = 18x$

Dividing both sides by 2 gives

$y = 9x$ and hence; $k = 9$