9 is to 3 as to is to? a) 6 b) 3 c) 8 d) 2 e) 4

Question

UpStudy AI · Accepted Answer

To solve the problem "9 is to 3 as to is to ?", we can set up a proportion.

The relationship can be expressed as:

$$
\frac{9}{3} = \frac{x}{y}
$$

Where $$ x $$ is the unknown value we are trying to find, and $$ y $$ is the value we are comparing it to.

First, we simplify the left side of the equation:

$$
\frac{9}{3} = 3
$$

Now, we can rewrite the proportion as:

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

To find $$ x $$, we can multiply both sides by $$ y $$:

$$
x = 3y
$$

Now we need to find a value for $$ y $$ from the options provided (6, 3, 8, 2, 4) that satisfies this equation.

Let's check each option:

1. If $$ y = 6 $$:
   $$
   x = 3 \times 6 = 18 \quad \text{(not an option)}
   $$

2. If $$ y = 3 $$:
   $$
   x = 3 \times 3 = 9 \quad \text{(not an option)}
   $$

3. If $$ y = 8 $$:
   $$
   x = 3 \times 8 = 24 \quad \text{(not an option)}
   $$

4. If $$ y = 2 $$:
   $$
   x = 3 \times 2 = 6 \quad \text{(option a)}
   $$

5. If $$ y = 4 $$:
   $$
   x = 3 \times 4 = 12 \quad \text{(not an option)}
   $$

The only option that satisfies the proportion is when $$ y = 2 $$, which gives us $$ x = 6 $$.

Thus, the answer is:

**a) 6**
The answer is 6.

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