For the direct variation equation y=223x, what is the constant of proportionality?(1 point)
Responses
2 2/3
2
3
2/3
The constant of proportionality for the direct variation equation y=223x is 223.
The correct response is:
y=600×3
This equation represents direct variation, where y represents the number of miles the jet travels in 3 hours, and 600 represents the rate of 600 mph at which the jet is flying.
To find the total number of hours a tiger will sleep in 7 weeks, we can multiply the number of hours it sleeps in a day (18 to 20 hours) by the number of days in 7 weeks (49 days).
Minimum hours = 18 hours/day × 49 days = 882 hours
Maximum hours = 20 hours/day × 49 days = 980 hours
Therefore, the correct response is:
882 to 980 hours
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=600×3
y equals 600 times 3
600=3x
600 equals 3 x
3=600x
bots correct except the first one. its actually The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
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 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 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.
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
630 to 700 hours
630 to 700 hours
126 to 140 hours
126 to 140 hours
882 to 980 hours
882 to 980 hours
2.5 to 2.9 hours
To find the constant of proportionality in a direct variation equation, you just need to look at the equation itself. In this case, the equation is y = 223x.
In a direct variation equation, the constant of proportionality is the coefficient in front of the x variable.
Therefore, the constant of proportionality in this equation is 223.
The correct response is:
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
This means that for each road project that the crew completes, it takes them 7 weeks.