Question

If y varies directly as x and y = 24 when x= 16, what is y when x = 50?

Answer 1

Answer:

$y = 75$

Step-by-step explanation:

Given

$y\ \alpha\ \ x$

$y=24; x =16$

Required

Find y when $x = 50$

We have:

$y\ \alpha\ \ x$

Express as equation

$y = kx$

Solve for k

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

When $y=24; x =16$

$k = \frac{24}{16}$

$k = \frac{3}{2}$

When $x = 50$, we have:

$y = kx$

$y = \frac{3}{2} * 50$

$y = 75$