Question

a hen lays 20 eggs in 4 weeks.
\\(\frac{20\text{ eggs}}{4\text{ weeks}}\\)
what is the unit rate that describes this relationship?
options:
\\(\frac{4\text{ eggs}}{1\text{ week}}\\)
\\(\frac{5\text{ eggs}}{1\text{ week}}\\)
\\(\frac{10\text{ eggs}}{1\text{ week}}\\)

Explanation:

Set up the rate fraction

$$ \text{Rate} = \frac{20\text{ eggs}}{4\text{ weeks}} $$

Simplify to find the unit rate

$$ \frac{20}{4} = \frac{5}{1} $$

State the final unit rate

$$ \frac{5\text{ eggs}}{1\text{ week}} $$

Answer:

• (A) \(\frac{4\text{ eggs}}{1\text{ week}}\)
• (B) \(\frac{5\text{ eggs}}{1\text{ week}}\) (Correct answer)
• (C) \(\frac{10\text{ eggs}}{1\text{ week}}\)