Question

Determine which cross products are proportionate to each other. Select all situations that apply.

1/2 = 2/24
3/8y = 9/24y
4 = 64/16
x/y = y/x
3z/x = 9z/3x

Answer 1

3/8y = 9/24 since 3*3=9 and 8*3=24
4 = 64/16 since 16*4=64
3z/x = 9z/3x since 3z*3=9z and x*3=3x

Answer 2

Answer:

Part 1) $\frac{1}{2} =\frac{2}{24}$

$\frac{2}{24}$ is $\frac{1}{12}$ in reduced form .

$\frac{1}{2} =\frac{2}{24}$

$\frac{1}{2}\neq\frac{1}{12}$

These are not proportionate to each other

Part 2) $\frac{3}{8}y =\frac{9}{24}y$

$\frac{9}{24}y$ is $\frac{3}{8}y$ in reduced form .

So,  $\frac{3}{8}y =\frac{9}{24}y$

So, these are proportionate to each other .

Part 3) $4 =\frac{64}{16}$

$\frac{64}{16}$ is $\frac{4}{1}$ in reduced form .

So,  $4 =\frac{64}{16}$

So, these are proportionate to each other .

Part 4) $\frac{x}{y} =\frac{y}{x}$

Since we cannot reduce $\frac{x}{y}$ into $\frac{y}{x}$ and vice versa.

So, These are not proportionate to each other

Part 5) $\frac{3z}{x} =\frac{9z}{3x}$

$\frac{9z}{3x}$ is $\frac{3z}{x}$ in reduced form .

So, $\frac{3z}{x} =\frac{9z}{3x}$

So, these are proportionate to each other .