Question

A direct variation exist between x and y. When x=4, y=3. What is the value of y when x=10

Answer 1

Answer:

$y = 7.5$

Step-by-step explanation:

Given

Direct variation implies that:

$y = kx$

Where k is the constant of variation.

$x=4; y=3$

Required

Find y when $x = 10$

$y = kx$

Make k the subject

$k = \frac{y}{x}$

For: $x=4; y=3$

$k = \frac{3}{4}$

For: $x = 10$

$k = \frac{y}{x}$ becomes

$k = \frac{y}{10}$

Substitute $k = \frac{3}{4}$

$\frac{3}{4} = \frac{y}{10}$

Make y the subject

$y = \frac{3}{4} * 10$

$y = \frac{3* 10}{4}$

$y = \frac{30}{4}$

$y = 7.5$