Answered

The table shows the colors of the cars sold from a dealership over the last month.
\begin{tabular}{|l|l|}
\hline Color of car & Number sold \\
\hline White & 25 \\
\hline Silver & 30 \\
\hline Black & 24 \\
\hline Blue & 9 \\
\hline Red & 12 \\
\hline
\end{tabular}

Based on this information, which prediction about next month's car sales is most reasonable?

A. The dealership is likely to sell more white cars than any other color.

B. The dealership is likely to sell twice as many silver cars as white cars.

C. The dealership is likely to sell twice as many black cars as red cars.

D. The dealership is likely to sell fewer red cars than any other color.



Answer :

Sure, let's analyze the given data and the possible predictions step by step:

1. Number of Cars Sold Last Month:
- White: 25
- Silver: 30
- Black: 24
- Blue: 9
- Red: 12

2. Analyzing Prediction A:
- This prediction states that the dealership is likely to sell more white cars than any other color.
- Comparing sales: White (25), Silver (30), Black (24), Blue (9), Red (12).
- Silver cars sold are the highest (30), more than white cars (25).
- Thus, this prediction (A) is false.

3. Analyzing Prediction B:
- This prediction says that the dealership is likely to sell twice as many silver cars as white cars.
- For this to hold true, the number of silver cars sold should be at least 50 (2 times 25).
- However, the number of silver cars sold is 30, which is not double 25.
- Therefore, prediction B is false.

4. Analyzing Prediction C:
- This prediction suggests the dealership is likely to sell twice as many black cars as red cars.
- For this to hold true, the number of black cars sold should be at least 24 (2 times 12).
- The actual number sold for black cars is exactly 24, which is indeed twice the number sold for red cars (12).
- Thus, this prediction (C) is true.

5. Analyzing Prediction D:
- This prediction indicates the dealership is likely to sell fewer red cars than any other color.
- Comparing sales: Red (12) vs. White (25), Silver (30), Black (24), Blue (9).
- Blue has the fewest sales at 9, which is less than red (12).
- Therefore, prediction D is false.

Conclusion:
Based on the analysis, the most reasonable prediction about next month's car sales is:
C. The dealership is likely to sell twice as many black cars as red cars.