For the direct variation equation y=2 2/3x , what is the constant of proportionality?(1 point)
Responses
3
3
2 2/3
2 Start Fraction 2 over 3 End Fraction
2
2
2/3
The constant of proportionality is 2 2/3 (or 2 2/3x can be written as 8/3x).
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 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.
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 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 means that for every 1 road project, it takes the crew of workers 7 weeks to complete it.
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
600=3x
600 equals 3 x
y=600/3
y equals Start Fraction 600 over 3 End Fraction
y=600×3
y equals 600 times 3
3=600x
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 would be:
y = 600 * 3
where y is the number of miles the jet travels in 3 hours.
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
126 to 140 hours
126 to 140 hours
882 to 980 hours
882 to 980 hours
2.5 to 2.9 hours
2.5 to 2.9 hours
630 to 700 hours
To find the number of hours a tiger will sleep in 7 weeks, we need to multiply the range of hours the tiger sleeps in a day (18 to 20 hours) by the number of days in 7 weeks (49 days).
Multiplying 18 hours by 49 days gives us 882 hours, and multiplying 20 hours by 49 days gives us 980 hours.
Therefore, the tiger will sleep between 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 Start Fraction 7 over x End Fraction
x=125,000/7
x equals Start Fraction 125,000 over 7 End Fraction
y=125,000×7
y equals 125,000 times 7
125,000=7x
The correct equation to help Jamal find out how much he will earn if he continues at the same rate of pay for 7 years is:
y = 125,000 * 7
Where y represents the earnings in 7 years.
To find the constant of proportionality in a direct variation equation, you need to compare the ratios of the variables.
In the equation y = (2 2/3)x, the constant of proportionality is the coefficient of x, which is 2 2/3.
So, the answer is 2 2/3.