Question

if y varies directly as x, and y=72 when x=8 an equation that relates x and y is? and if y varies directly as x, and y=98 when x=14 an equation that relates x and y is?

Answer 1

Answer:

a) $y=9x$

b) $y=7x$

Step-by-step explanation:

In both parts of the problem y varies directly as x. So, they have the following form:

$y=kx$

Where k is the constant of proportionality.

Therefore, you must find k and then write the equations.

a) Solve for k:

$k=\frac{72}{8}\\k=9$

Then, the equation is:

$y=9x$

b)  Solve for k:

$k=\frac{98}{14}\\k=7$

Then, the equation is:

$y=7x$