Analyzing Dealer Car Sales Data

The question asks us to find which dealer and month combination corresponds to 90% of the average number of cars sold by dealer B over the first five months of 2019. We need to analyze the provided sales data.

Car Sales Data Table

Calculating Dealer B's Average Sales

First, let's find the total number of cars sold by dealer B over the five months:

• January: 105
• February: 108
• March: 102
• April: 115
• May: 120

Total sales for dealer B = $105 + 108 + 102 + 115 + 120 = 550$ cars.

Next, we calculate the average number of cars sold by dealer B per month. The formula for the average is:

$$ \text{Average} = \frac{\text{Total Sales}}{\text{Number of Months}} $$

Average sales for dealer B = $ \frac{550}{5} = 110 $ cars.

Finding 90% of the Average

Now, we need to calculate 90% of dealer B's average sales (which is 110 cars). We can write 90% as $0.90$ or $ \frac{90}{100} $.

Calculation: $ 90\% \text{ of } 110 = 0.90 \times 110 $

$ 0.90 \times 110 = 99 $ cars.

So, we are looking for a specific dealer's sales figure that equals 99 cars.

Identifying the Matching Dealer and Month

Let's check the sales figures for the options provided:

1. Dealer F in February: The table shows dealer F sold 99 cars in February. This matches our calculated value.
2. Dealer C in April: Dealer C sold 98 cars in April. This does not match 99.
3. Dealer A in May: Dealer A sold 97 cars in May. This does not match 99.
4. Dealer E in March: Dealer E sold 100 cars in March. This does not match 99.

Based on the analysis, the number of cars sold by dealer F in February (99 cars) is exactly 90% of the average number of cars sold by dealer B in the first five months.