In a recent year, a group of car dealers estimated the number of new cars and SUVs sold in their region to be 800 comma 000 vehicles. They estimated the distribution by category as shown in the circle graph to the right. Find the total number of the vehicles sold that were station wagons, four-door sedans, or minivans.

Question

In a recent​ year, a group of car dealers estimated the number of new cars and SUVs sold in their region to be 800 comma 000 vehicles. They estimated the distribution by category as shown in the circle graph to the right. Find the total number of the vehicles sold that were station​ wagons, four-door​ sedans, or minivans.
A circle graph titled "Sales of Cars and S U V" consists of a circle divided into five sectors with labels and sizes as a percentage of the circle as follows: Station wagons, 3%; Minivans, 18%; Four-door sedans, 49%; Two-door coupes, 10%; S U V, 20%.
Sales of Cars and SUVs
Station wagons 3%
Minivans 18%
Four-door sedans 49%
Two-door coupes 10%
SUVs 20%
Question content area bottom
Part 1
In the circle graph​ shown, what do the numbers listed for each type of vehicle​ represent?
A.
The number of vehicles of that type
B.
The percentage of the total number of vehicles that are not of that type
C.
The ratio of the number of vehicles of that type to the number of vehicles of the type that is listed below it
D.
The percentage of the total number of vehicles that is taken up by that type
Your answer is correct.
Part 2
The percentage of vehicles sold that were station wagons is 
  
3​%.
Part 3
The percentage of vehicles sold that were​ four-door sedans is 
  
49​%.
Part 4
The percentage of vehicles sold that were minivans is 
  
18​%.
Part 5
Which of the operations below gives the total percentage of vehicles sold that were station​ wagons, four-door​ sedans, or​ minivans?
A.
Multiply the percent of each of these types of vehicles by the total number of vehicles.
B.
Add the percentages of​ two-door coupes and SUVs to 100.
C.
Multiply the percentage of station wagons by the percentage of​ minivans, and multiply the result by the percentage of​ four-door sedans.
D.
Add the percentages of station​ wagons, four-door​ sedans, and minivans.

GPT-4o mini · Answer

Let's break this down step by step. ### Part 1: The labels and percentages in the circle graph represent: **D. The percentage of the total number of vehicles that is taken up by that type** ### Part 2: The percentage of vehicles sold that were station wagons is: **3%** ### Part 3: The percentage of vehicles sold that were four-door sedans is: **49%** ### Part 4: The percentage of vehicles sold that were minivans is: **18%** ### Part 5: To find the total percentage of vehicles sold that were station wagons, four-door sedans, or minivans, you would: **D. Add the percentages of station wagons, four-door sedans, and minivans.** ### Calculation of Total Vehicles Sold That Were Station Wagons, Four-Door Sedans, or Minivans: Now, let's calculate the total number of vehicles sold in these categories. 1. Calculate the total percentage for these types: - Station wagons: **3%** - Four-door sedans: **49%** - Minivans: **18%** Total percentage = 3% + 49% + 18% = 70% 2. Convert this percentage to actual vehicles sold: - Total number of vehicles sold = **800,000** Vehicles sold in these categories = 70% of 800,000 = 0.70 × 800,000 = **560,000 vehicles** ### Answer: The total number of vehicles sold that were station wagons, four-door sedans, or minivans is **560,000 vehicles**.