Answer :
Let's analyze the problem step by step.
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Step 1. Identify the details from the table:
We have four cars with the following characteristics:
[tex]\[
\begin{array}{|l|c|c|c|c|}
\hline
\text{Model} & \text{Year} & \text{Price (zeds)} & \text{Kilometers} & \text{Engine (liters)} \\
\hline
\text{Alpha} & 2003 & 4800 & 105\,000 & 1.79 \\
\text{Bolte} & 2000 & 4450 & 115\,000 & 1.796 \\
\text{Castel} & 2001 & 4250 & 128\,000 & 1.82 \\
\text{Dezal} & 1999 & 3990 & 109\,000 & 1.783 \\
\hline
\end{array}
\][/tex]
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Step 2. Solve Question 1:
Cristina wants a car that satisfies all these conditions:
- The mileage must not exceed 120,000 km.
- It must have been manufactured in the year 2000 or later.
- The promotional price must not exceed 4,500 zeds.
Let’s check each car:
1. Alpha:
- Mileage: [tex]\(105\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(2003 \geq 2000\)[/tex] (✓)
- Price: [tex]\(4800 > 4500\)[/tex] (✗)
The price condition fails for Alpha.
2. Bolte:
- Mileage: [tex]\(115\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(2000 \geq 2000\)[/tex] (✓)
- Price: [tex]\(4450 \leq 4500\)[/tex] (✓)
All conditions are met for Bolte.
3. Castel:
- Mileage: [tex]\(128\,000 > 120\,000\)[/tex] (✗)
- Even though the year and price conditions might be met, the mileage condition fails.
4. Dezal:
- Mileage: [tex]\(109\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(1999 < 2000\)[/tex] (✗)
- Although the mileage and price conditions pass, the year condition fails.
Therefore, the only car that meets all of Cristina’s conditions is Bolte.
──────────────────────────────
Step 3. Solve Question 2:
We need to find the car with the least engine capacity. The engine capacities are:
[tex]\[
\begin{aligned}
\text{Alpha: } & 1.79 \text{ liters} \\
\text{Bolte: } & 1.796 \text{ liters} \\
\text{Castel: } & 1.82 \text{ liters} \\
\text{Dezal: } & 1.783 \text{ liters}
\end{aligned}
\][/tex]
Comparing these values:
- [tex]\(1.783 < 1.79 < 1.796 < 1.82\)[/tex]
The car with the least engine capacity is Dezal.
──────────────────────────────
Final Answers:
1. The car that meets Cristina's conditions is: Bolte.
2. The car with the least engine capacity is: Dezal.
──────────────────────────────
Step 1. Identify the details from the table:
We have four cars with the following characteristics:
[tex]\[
\begin{array}{|l|c|c|c|c|}
\hline
\text{Model} & \text{Year} & \text{Price (zeds)} & \text{Kilometers} & \text{Engine (liters)} \\
\hline
\text{Alpha} & 2003 & 4800 & 105\,000 & 1.79 \\
\text{Bolte} & 2000 & 4450 & 115\,000 & 1.796 \\
\text{Castel} & 2001 & 4250 & 128\,000 & 1.82 \\
\text{Dezal} & 1999 & 3990 & 109\,000 & 1.783 \\
\hline
\end{array}
\][/tex]
──────────────────────────────
Step 2. Solve Question 1:
Cristina wants a car that satisfies all these conditions:
- The mileage must not exceed 120,000 km.
- It must have been manufactured in the year 2000 or later.
- The promotional price must not exceed 4,500 zeds.
Let’s check each car:
1. Alpha:
- Mileage: [tex]\(105\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(2003 \geq 2000\)[/tex] (✓)
- Price: [tex]\(4800 > 4500\)[/tex] (✗)
The price condition fails for Alpha.
2. Bolte:
- Mileage: [tex]\(115\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(2000 \geq 2000\)[/tex] (✓)
- Price: [tex]\(4450 \leq 4500\)[/tex] (✓)
All conditions are met for Bolte.
3. Castel:
- Mileage: [tex]\(128\,000 > 120\,000\)[/tex] (✗)
- Even though the year and price conditions might be met, the mileage condition fails.
4. Dezal:
- Mileage: [tex]\(109\,000 \leq 120\,000\)[/tex] (✓)
- Year: [tex]\(1999 < 2000\)[/tex] (✗)
- Although the mileage and price conditions pass, the year condition fails.
Therefore, the only car that meets all of Cristina’s conditions is Bolte.
──────────────────────────────
Step 3. Solve Question 2:
We need to find the car with the least engine capacity. The engine capacities are:
[tex]\[
\begin{aligned}
\text{Alpha: } & 1.79 \text{ liters} \\
\text{Bolte: } & 1.796 \text{ liters} \\
\text{Castel: } & 1.82 \text{ liters} \\
\text{Dezal: } & 1.783 \text{ liters}
\end{aligned}
\][/tex]
Comparing these values:
- [tex]\(1.783 < 1.79 < 1.796 < 1.82\)[/tex]
The car with the least engine capacity is Dezal.
──────────────────────────────
Final Answers:
1. The car that meets Cristina's conditions is: Bolte.
2. The car with the least engine capacity is: Dezal.
