MATH Math 170 - Unit 08: Proportions and Constant of Proportionality
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Proportions in Tables and Graphs

1) Bertha's chocolate factory is expanding. She wanted to know how many workers she needs to produce chocolate bars. The following table lists a certain number of workers and the corresponding amounts of chocolate bars they produce.

True or False: The relationship between the number of workers and the number of bars produced is proportional.
Correct!

2) Consider the pairs of ratios given and determine whether or not the ratios form a proportion.

8 old rings for every 1 ring 16 old rings for every 2 rings
Correct!

3) The two graphs below show the total time spent on the phone by the people of Ohio over a span of 9 weeks Study the graphs and select all of the correct scenarios.




Correct!
A is right but C is not the 2nd answer

4) Which of the following tables shows a proportional relationship between x and y?
Correct!

5) Is y directly proportional to x based on the data in the table?
Incorrect

6) The table shows a proportional relationship between the number of pounds of grapes purchased and the total cost of the grapes.

A row of values is missing in the table. Which number of pounds of grapes and total cost of the grapes could be used as the missing values in the table?

Select all of the correct responses.





Incorrect
There are 2 total answers - D is not one of them

7) Gary has a box of pencils. In the box, 7/21 of the pencils have been sharpened. Select the three fractions that are proportional to the fraction of sharpened pencils in Gary’s box.






Incorrect
There are 3 total answers - the two you chose are both wrong

8) Does the graph below show a proportional relationship?
Incorrect

9) Which graph displays a proportional relationship?
Incorrect

10) If two quantities vary directly, which must be true of a graph showing the proportional relationship between them? Select all that apply.






Incorrect
F is right - plus two more - B is not one of those

Constant of Proportionality

11) A proportional relationship is shown. What is the constant of proportionality?

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Not Graded

12) What is the constant of proportionality for the graph below?

244 character(s) left
Not Graded

13) What size package of pasta has the lowest constant of proportionality?
Incorrect

14) What is the constant of proportionality if there are 92 miles driven using 4 gallons of gas?
Correct!

15) The table represents a proportional relationship. A student states the constant of proportionality is 2.5 because 12.5 – 10 = 2.5.

Part A: Is the student correct?
Correct!

16) Part B: What is the constant of proportionality?
Correct!

17) The graph below shows cost, in dollars, is proportional to the number of tickets. Identify and interpret the constant of proportionality.
Incorrect

Use the graph below to answer the following questions.

18) Part A: Which line on the graph is proportional?
Correct!

19) Part B: What are your earnings per hour?
Incorrect

20) Part C: What are your friend’s earnings per hour?
Incorrect

21) During their last workout, Michelle did 81 crunches in 3 minutes and her friend Zack did 104 crunches in 4 minutes. Each person thought they did more crunches per minute. Based on this workout, which person is correct?
Incorrect

22) The table below represents a relationship between the time a turtle walks and the distance the turtle travels. What is the constant of proportionality in feet per minute, represented in this table?
Incorrect

23) Proportions and Constant of Proportionality
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DATESTART TIMEEND TIMEDESCRIPTION
11/23/202110:00 AM01:00 PMread more about proportions https://www.mathsisfun.com/algebra/proportions.html https://www.merriam-webster.com/dictionary/proportion
3 Hour(s) & 0 Minute(s)

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Correct!



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