Equations of Proportional Relationships Quick Check
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Question
For the direct variation equation y=2 2/3x, what is the constant of proportionality?(1 point)
Responses
2 2/3
2 Start Fraction 2 over 3 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
2
2
3
3
11 answers
The constant of proportionality is $\boxed{2 \frac{2}{3}}$.
The equation y=7x gives the relationship between the number of road projects, x, and the number of weeks it takes a crew of workers to complete all the projects, y. What is the constant of proportionality? What does it mean in this context?(1 point)
Responses
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
Responses
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
The constant of proportionality is 7. It means that for every additional road project, it will take the crew of workers 7 weeks to complete all of their projects.
Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.(1 point)
Responses
y=600/3
y equals Start Fraction 600 over 3 End Fraction
3=600x
3 equals 600 x
600=3x
600 equals 3 x
y=600×3
Responses
y=600/3
y equals Start Fraction 600 over 3 End Fraction
3=600x
3 equals 600 x
600=3x
600 equals 3 x
y=600×3
The correct direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph is $y=600 \times 3$.
Question
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
2.5 to 2.9 hours
2.5 to 2.9 hours
882 to 980 hours
882 to 980 hours
126 to 140 hours
126 to 140 hours
630 to 700 hours
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
2.5 to 2.9 hours
2.5 to 2.9 hours
882 to 980 hours
882 to 980 hours
126 to 140 hours
126 to 140 hours
630 to 700 hours
To calculate the number of hours a tiger will sleep in 7 weeks, we need to multiply the number of hours the tiger sleeps in a day (18 to 20 hours) by the number of days in 7 weeks.
Considering the minimum range of 18 hours, we have 18 hours/day * 7 days/week * 7 weeks = 882 hours.
Considering the maximum range of 20 hours, we have 20 hours/day * 7 days/week * 7 weeks = 980 hours.
Therefore, the tiger will sleep for approximately 882 to 980 hours in 7 weeks. The correct response is:
882 to 980 hours.
Considering the minimum range of 18 hours, we have 18 hours/day * 7 days/week * 7 weeks = 882 hours.
Considering the maximum range of 20 hours, we have 20 hours/day * 7 days/week * 7 weeks = 980 hours.
Therefore, the tiger will sleep for approximately 882 to 980 hours in 7 weeks. The correct response is:
882 to 980 hours.
Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?(1 point)
Responses
125,000=7x
125,000 equals 7 x
y=125,000×7
y equals 125,000 times 7
x=125,000/7
x equals Start Fraction 125,000 over 7 End Fraction
125,000=7/x
125,000 equals Start Fraction 7 over x End Fraction
Responses
125,000=7x
125,000 equals 7 x
y=125,000×7
y equals 125,000 times 7
x=125,000/7
x equals Start Fraction 125,000 over 7 End Fraction
125,000=7/x
125,000 equals Start Fraction 7 over x End Fraction
The correct equation that will help Jamal find how much he will earn if he continues at the same rate of pay for 7 years is:
$y = 125,000 \times 7$
This equation represents multiplying his annual salary ($125,000) by the number of years (7) to find the total earnings over that period of time.
$y = 125,000 \times 7$
This equation represents multiplying his annual salary ($125,000) by the number of years (7) to find the total earnings over that period of time.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project. - not selected, this is the correct answer
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects. - selected, wrong answer
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects. - selected, wrong answer
Apologies for the confusion. The correct answer is:
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
1 answer