For the direct variation equation y=223x , what is the constant of proportionality?(1 point)
Responses
223
2 Start Fraction 2 over 3 End Fraction
2
2
23
Start Fraction 2 over 3 End Fraction
3
The constant of proportionality for the direct variation equation y=223x is 223.
The constant of proportionality is 7. It means that for every road project the crew of workers completes, it takes them 7 weeks to do so.
The 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=600×3.
The equation that will help Jamal find the amount he will earn if he continues at the same rate of pay for 7 years is y=125,000×7.
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Question
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 all of their road projects.
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 takes the crew of workers 7 days to complete 1 road project.
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=6003
y equals Start Fraction 600 over 3 End Fraction
y=600×3
y equals 600 times 3
600=3x
600 equals 3 x
3=600x
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
630 to 700 hours
630 to 700 hours
126 to 140 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
x=125,0007
x equals Start Fraction 125,000 over 7 End Fraction
y=125,000×7
y equals 125,000 times 7
125,000=7x
125,000 equals Start Fraction 7 over x End Fraction
125,000=7x
For the direct variation equation y=2 2/3x, what is the constant of the proportionality?
1. 3
2. 2/3
3. 2 2/3
4. 2
To find the number of hours a tiger will sleep in 7 weeks, we need to calculate the range of hours a tiger sleeps in a day (18-20) and then multiply this range by the number of days in 7 weeks.
Range of hours a tiger sleeps in a day: 20 - 18 = 2 hours
Number of days in 7 weeks: 7 weeks * 7 days/week = 49 days
Total hours: 2 hours/day * 49 days = 98 hours
Therefore, a tiger will sleep for 98 hours in 7 weeks. The correct response is: 630 to 700 hours.