https://file.aiquickdraw.com/mathbot/file/1729996079958dvdx1zes.jpg

Let's break this down step by step.

### Part (a): Finding Unit Rates
- The total amount of road built is **11 kilometers** in **33 days**.
- To calculate unit rates, we express the relationship in terms of either **kilometers per day** or **days per kilometer**.

1. **Kilometers per day**:
   \[
\frac{11 \, \text{km}}{33 \, \text{days}} = \frac{11}{33} = \frac{1}{3} \, \text{km per day}.
   \]
   **Answer:** \( \frac{1}{3} \, \text{km per day} \).

2. **Days per kilometer**:
   \[
\frac{33 \, \text{days}}{11 \, \text{km}} = 3 \, \text{days per kilometer}.
   \]
   **Answer:** \( 3 \, \text{days per kilometer} \).

So, the two unit rates are:
- \( \frac{1}{3} \, \text{km per day} \)
- \( 3 \, \text{days per kilometer} \)

---

### Part (b): Predicting Road Built in 27 Days
If the crew builds at a rate of \( \frac{1}{3} \, \text{km per day} \), we multiply by 27 days to find the total kilometers built.

\[
\frac{1}{3} \times 27 = 9 \, \text{km}.
\]

**Answer for Part (b):** The crew can build **9 kilometers** of road in 27 days.

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Do you have any further questions? Would you like additional details on how these unit rates work?  

Here are 5 questions to extend this concept:
1. How would the calculation change if the crew built 20 kilometers in 40 days?
2. Can you convert the unit rate from kilometers per day to meters per day?
3. What happens to the unit rate if the crew doubles their speed?
4. How can unit rates be useful in other real-world scenarios?
5. How would you solve for the number of days needed to build 15 kilometers?

**Tip:** When dealing with unit rates, always reduce fractions to their simplest form for easier interpretation.

A construction crew built 11 kilometers of road in 33 days. Give two different unit rates using this relationship. Assume the crew builds the same amount of road each day. How many kilometers of road can they build in 27 days?

Explore how to calculate unit rates with a road construction problem, determining the kilometers built per day and days per kilometer. Also, predict the total road that can be built in 27 days based on a fixed daily rate. Ideal for Grades 6-8.

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