30. Trevor's recipe calls for 3 cups of flour and 2 cups of sugar. He is making a larger batch and using 9 cups of flour and 4 cups of sugar. Use cross products to tell whether the $$ \operatorname{tatios} \frac{3}{2} $$ and $$ \frac{9}{4} $$ are in proportion. Show your work.

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To determine if the ratios $$ \frac{3}{2} $$ and $$ \frac{9}{4} $$ are in proportion, we can use cross products.

The two ratios are in proportion if the cross products are equal. This means we need to check if:

$$
3 \times 4 = 2 \times 9
$$

Now, let's calculate both sides of the equation:

1. Calculate $$ 3 \times 4 $$
2. Calculate $$ 2 \times 9 $$

Let's perform these calculations step by step.

First, we calculate $$ 3 \times 4 $$:

$$
3 \times 4 = 12
$$

Next, we calculate $$ 2 \times 9 $$:

$$
2 \times 9 = 18
$$

Now we compare the two results:

- Left side: $$ 12 $$
- Right side: $$ 18 $$

Since $$ 12 \neq 18 $$, the cross products are not equal, which means the ratios $$ \frac{3}{2} $$ and $$ \frac{9}{4} $$ are not in proportion.

Thus, the final conclusion is that the ratios are not proportional.
The ratios $$ \frac{3}{2} $$ and $$ \frac{9}{4} $$ are not in proportion because $$ 3 \times 4 = 12 $$ and $$ 2 \times 9 = 18 $$, and $$ 12 \neq 18 $$.

Trevor’s recipe calls for 3 cups of flour and 2 cups of sugar. He is making a larger batch and using 9 cups of flour and 4 cups of sugar.
Use cross products to tell whether the and are in proportion. Show your work.

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Trevor’s recipe calls for 3 cups of flour and 2 cups of sugar. He is making a larger batch and using 9 cups of flour and 4 cups of sugar. Use cross products to tell whether the and are in proportion. Show your work.