A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between $$ n $$, the number of supervisors, and $$ u $$, the number of baby unicorns. Please note that this is a magieal dayeare center, so fractional supervisors are allowed. is

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To establish the relationship between the number of supervisors ($$ n $$) and the number of baby unicorns ($$ u $$) at the magical unicorn daycare center, we can use the given ratio:

$$
\frac{n}{u} = \frac{2}{18}
$$

This ratio means that for every 18 baby unicorns, there are 2 supervisors. To express $$ n $$ in terms of $$ u $$, follow these steps:

1. **Set Up the Proportion:**
   $$
   n = \frac{2}{18} \times u
   $$

2. **Simplify the Fraction:**
   $$
   \frac{2}{18} = \frac{1}{9}
   $$

3. **Write the Final Equation:**
   $$
   n = \frac{u}{9}
   $$

**Final Equation:**
$$
n = \frac{u}{9}
$$

**Explanation:**
- This equation indicates that for every 9 baby unicorns, there is 1 supervisor required.
- Since the daycare is magical, fractional supervisors are allowed, meaning you can have non-integer values for $$ n $$ based on the number of unicorns $$ u $$.

**Example:**
If there are 45 baby unicorns ($$ u = 45 $$):
$$
n = \frac{45}{9} = 5 \text{ supervisors}
$$
The relationship between the number of supervisors ($$ n $$) and the number of baby unicorns ($$ u $$) is given by the equation: $$ n = \frac{u}{9} $$ This means for every 9 baby unicorns, there is 1 supervisor.

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