In Country Q, 6 different models of passenger automobiles are assembled. The graph shows the number of each model assembled,...

Owning The Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. Model Y shows consistent year-over-year growth in production, rising from 139,000 units in 2006 to 215,000 in 2010 (an increase of approximately 55%).
2. Model Z is the dominant model every year and had the largest single-year increase (from 779,000 in 2007 to 896,000 in 2008, a jump of 117,000 units).
3. Model V peaked in production in 2007 (220,000 units) but declined rapidly in subsequent years, dropping to 135,000 by 2009, indicating a notable reversal unlike the generally increasing trend.

Step-by-Step Solution

Question 1: Percent Increase in Model Y Cars from 2006 to 2010

Complete Statement:

Rounded to the nearest 5 percent, the number of Model Y cars assembled in Country Q increased by [BLANK] percent from 2006 to 2010.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: Rounded to the nearest 5 percent
  • Meaning: The percent increase should be estimated to the nearest multiple of 5.
  • Relation to Chart: Allows for some rounding rather than needing an exact number.
  • Important Implications: After calculating the percentage, round the result to the nearest 5%.

• Statement Breakdown 2:
  • Key Phrase: the number of Model Y cars assembled
  • Meaning: We are focused only on Model Y data—not any other models.
  • Relation to Chart: Look specifically at Model Y segments in the chart/table for years 2006 and 2010.
  • Important Implications: Data required is only for Model Y, not total or other models.

• What is needed: The percent increase in the number of Model Y cars assembled from 2006 to 2010, rounded to the nearest 5%.

Solution:

• Condensed Solution Implementation:
  Locate Model Y numbers for 2006 and 2010, calculate the percent increase, and round the result to the nearest 5%.
• Necessary Data points:
  Model Y in 2006: 139,000 cars. Model Y in 2010: 215,000 cars.
• Calculations Estimations:
  Percent increase = \(\frac{(215,000 - 139,000)}{139,000} \times 100 \approx \frac{76,000}{139,000} \times 100 \approx 54.7\%\). Rounded to nearest 5%: 55%.
• Comparison to Answer Choices:
  54.7% is closest to 55%, based on rounding to the nearest 5%.

FINAL ANSWER Blank 1: 55

Question 2: Greatest Increase by Model from 2007 to 2008

Complete Statement:

From 2007 to 2008, the increase in the number of cars assembled in Country Q was greatest for Model [BLANK].

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: From 2007 to 2008
  • Meaning: Focus on the change just between these two years.
  • Relation to Chart: Compare 2007 and 2008 values in the chart for each model.

• Statement Breakdown 2:
  • Key Phrase: increase in the number of cars assembled
  • Meaning: Calculate the (2008 value) - (2007 value) for each model.
  • Relation to Chart: For every model, subtract 2007 quantity from 2008 quantity.

• What is needed: Which model (U, V, W, X, Y, or Z) had the largest absolute increase in number of cars assembled from 2007 to 2008.

Solution:

• Condensed Solution Implementation:
  Look at all models' values for 2007 and 2008, calculate each increase, and identify which one is greatest.
• Necessary Data points:
  Model U: 14,000 to 14,000 (increase = 0); Model V: 220,000 to 167,000 (increase = -53,000); Model W: 42,000 to 51,000 (increase = 9,000); Model X: 93,000 to 115,000 (increase = 22,000); Model Y: 152,000 to 178,000 (increase = 26,000); Model Z: 779,000 to 896,000 (increase = 117,000).
• Calculations Estimations:
  Compute each: U: 0; V: -53,000; W: +9,000; X: +22,000; Y: +26,000; Z: +117,000. The greatest increase is 117,000 for Model Z.
• Comparison to Answer Choices:
  Model Z shows the largest single increase; none of the other models come close.

FINAL ANSWER Blank 2: Z

Summary

Blank 1: The number of Model Y cars increased by 55% from 2006 to 2010 (rounded to the nearest 5%). Blank 2: The greatest increase from 2007 to 2008 was for Model Z. Both questions use different models and require retrieving and comparing different years; careful attention to the data ensures the correct answers.

Question Independence Analysis

These questions are independent: answering Blank 1 only requires Model Y's data from 2006 and 2010, while Blank 2 requires looking at the increases for all models from 2007 to 2008. The calculations and datasets do not overlap.