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Mr. Kushner's class is selling candles for a class trip. There are 18 students in his class in all. 3 students sell 5 candles. The number of students who sell 6 candles is 2 more than the number who sell 5 candles. 3 students sell 8 candles. 1 student sells 12 candles. The rest of the students sell 9 candles.

Part A
The students make a line plot named "Candles Sold." Which of the following is a good scale for their line plot?

(1 point)
Responses

1, 2, 3, 4, 5, 6, 7, 8, 9

1, 2, 3, 4, 5, 6, 7, 8, 9

2, 3, 4, 5, 6, 7, 8, 9, 10

2, 3, 4, 5, 6, 7, 8, 9, 10

5, 6, 7, 8, 9, 10, 11, 12

5, 6, 7, 8, 9, 10, 11, 12

6, 7, 8, 9, 10, 11, 12, 13

6, 7, 8, 9, 10, 11, 12, 13
Question 2
Part B
Which statement is true?

(1 point)
Responses

There will be 0 dots above 6.

There will be 0 dots above 6.

There will be 12 dots above 7.

There will be 12 dots above 7.

There will be 9 dots above 8.

There will be 9 dots above 8.

There will be 6 dots above 9.

There will be 6 dots above 9.
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1 answer

To determine the answers to Part A and Part B, let's first summarize the information about the candles sold by the students in Mr. Kushner's class.

  1. Students selling 5 candles: 3 students
  2. Students selling 6 candles: 2 more than students selling 5 candles, so 3 + 2 = 5 students
  3. Students selling 8 candles: 3 students
  4. Students selling 12 candles: 1 student
  5. Students selling 9 candles: The total number of students is 18.

Let’s calculate how many students sell 9 candles:

  • Total students: 18
  • Students selling 5 candles: 3
  • Students selling 6 candles: 5
  • Students selling 8 candles: 3
  • Students selling 12 candles: 1

Now let's sum up the students selling the specified amounts:

\[ 3 \text{ (5 candles)} + 5 \text{ (6 candles)} + 3 \text{ (8 candles)} + 1 \text{ (12 candles)} = 12 \text{ students} \]

Now we can find the number of students selling 9 candles:

\[ 18 \text{ (total students)} - 12 \text{ (students accounted for)} = 6 \text{ students} \]

Part A: Good Scale for the Line Plot

The possible scales given are:

  1. 1, 2, 3, 4, 5, 6, 7, 8, 9
  2. 2, 3, 4, 5, 6, 7, 8, 9, 10
  3. 5, 6, 7, 8, 9, 10, 11, 12
  4. 6, 7, 8, 9, 10, 11, 12, 13

Given the candles sold are from 5 to 12, the best option that covers all the values is:

3. 5, 6, 7, 8, 9, 10, 11, 12

Part B: True Statement

Now, let's verify the statements related to the number of dots over each number of candles:

  • Dots above 6: 5 students sell 6 candles → 5 dots
  • Dots above 7: 0 students sell 7 candles → 0 dots
  • Dots above 8: 3 students sell 8 candles → 3 dots
  • Dots above 9: 6 students sell 9 candles → 6 dots
  • Dots above 12: 1 student sells 12 candles → 1 dot

Now let's check the statements:

  1. There will be 0 dots above 6. (False, there are 5 dots)
  2. There will be 12 dots above 7. (False, there are 0 dots)
  3. There will be 9 dots above 8. (False, there are 3 dots)
  4. There will be 6 dots above 9. (True, there are 6 dots)

Thus, the only true statement is: There will be 6 dots above 9.

Final Answers:

  • Part A: 5, 6, 7, 8, 9, 10, 11, 12
  • Part B: There will be 6 dots above 9.