The traffic that passes through a certain location is composed exclusively of the following nonoverlapping types of vehicles: "rural cars,"...

Owning the Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

1. Business day trucks experience the greatest relative decrease, dropping from 5.0% at hour 17 to 2.1% at hour 22 (over 50% reduction), tightly matching traditional workday patterns.
2. Through trucks show an unusually stable, flat pattern at ~4% for every hour, indicating predictable all-day presence unlike other types whose traffic varies greatly by hour.
3. Combined hourly traffic is highest at hour 16, when all four vehicle types reach strong or peak values, marking it as the busiest period overall.
4. The graph's percentages are for each vehicle type's daily total, so actual hourly volume also depends on the (unstated) overall counts of each type.

Step-by-Step Solution

Question 1: Percent Change in Business Day Trucks

Complete Statement:

From hour 17 to hour 22, the percent change in number of business day trucks passing through the location [BLANK].

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: From hour 17 to hour 22
    • Meaning: Specifies that we need to compare data at these two time points.
    • Relation to Chart: Locate the values for business day trucks at hour 17 and hour 22 on the chart.
    • Important Implications: We are to compute the change in truck numbers over this time interval, not the total across all hours.
• Statement Breakdown 2:
  • Key Phrase: percent change in number of business day trucks
    • Meaning: We are being asked the percentage increase or decrease between these two hours.
    • Relation to Chart: The y-axis shows percent of daily total; use these values for the calculation.
    • Important Implications: This requires the formula: (new value - old value) / old value × 100%.
• What is needed: The percent change in the number (percentage of daily total) of business day trucks from hour 17 to hour 22.

Solution:

• Condensed Solution Implementation:
  Read the business day trucks percentage at hour 17 and hour 22 and compute the percent change.
• Necessary Data points:
  At hour 17: 5.0%. At hour 22: 2.1%.
  • Calculations Estimations:
    Percent change = \\(\frac{2.1 - 5.0}{5.0} \times 100 = \frac{-2.9}{5.0} \times 100 = -58\%\\)
  • Comparison to Answer Choices:
    Among the answer choices (about 40%, about 60%, about 80%), -58% is closest to about 60% decrease.

FINAL ANSWER Blank 1: is a decrease of about 60%

Question 2: Hour of Maximum Total Traffic

Complete Statement:

Assuming that total traffic over the day is the same for each of the four vehicle types, the hour of maximum total traffic is [BLANK].

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: total traffic over the day is the same for each of the four vehicle types
    • Meaning: Each type of vehicle contributes equally to the daily total traffic volume.
    • Relation to Chart: We can compare percentages directly for any hour across vehicle types.
• Statement Breakdown 2:
  • Key Phrase: hour of maximum total traffic
    • Meaning: We need to identify the hour when the combined (summed) traffic share of all four types is largest.
    • Relation to Chart: Add the percentages for all four vehicle types for each candidate hour.
• What is needed: Which hour has the highest sum of all four vehicle type percentages.

Solution:

• Condensed Solution Implementation:
  Sum the percentages for the four vehicle types at each hour listed among the answer choices.
• Necessary Data points:
  Hour 9: through trucks 3.9%, business day trucks 6.8%, urban cars 7.8%, rural cars 4.9% (sum: 23.4%). Hour 15: through trucks 3.8%, business day trucks 6.4%, urban cars 7.2%, rural cars 6.8% (sum: 24.2%). Hour 16: through trucks 3.9%, business day trucks 5.9%, urban cars 8.2%, rural cars 7.3% (sum: 25.3%).
  • Calculations Estimations:
    Hour 9 = 23.4%; Hour 15 = 24.2%; Hour 16 = 25.3%.
  • Comparison to Answer Choices:
    Hour 16 has the highest combined value.

FINAL ANSWER Blank 2: 16

Summary

For blank 1, the percent decrease in business day trucks from hour 17 to hour 22 is about 60%. For blank 2, the hour of maximum total traffic (sum of all four vehicle types' percentages) is hour 16.

Question Independence Analysis

The two blanks are independent of each other. The first asks about the percent change for business day trucks between two specific hours. The second asks about the hour with the greatest summed share across all vehicle types. Solving one does not provide information necessary for the other.