For the direct variation equation y= 2 2/3x , what is the constant of proportionality?
The constant of proportionality in the direct variation equation y = (8/3)x is 8/3.
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)ResponsesThe 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 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 days to complete all of their road projects.
The correct response is: The constant of proportionality is 7. It means that for each additional road project, it would take 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
Let y represent the number of miles a jet travels and x represent the number of hours it flies. Since the rate (600 mph) remains constant, we can write the direct variation equation as y = 600x.
To find the number of miles the jet travels in 3 hours, we substitute x = 3 into the equation:
y = 600(3)
y = 1800
Therefore, the jet travels 1800 miles in 3 hours when flying at a rate of 600 mph.
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)Responses882 to 980 hours882 to 980 hours126 to 140 hours126 to 140 hours 630 to 700 hours 630 to 700 hours2.5 to 2.9 hours
To determine how many hours a tiger will sleep in 7 weeks, we need to find the total number of hours in 7 weeks and then determine what portion of that time the tiger will sleep.
There are 7 days in a week, so in 7 weeks, there are 7 * 7 = 49 days.
If a tiger sleeps 18 to 20 hours a day, then in 49 days, it would sleep a minimum of 18 * 49 = 882 hours and a maximum of 20 * 49 = 980 hours.
Therefore, the tiger will sleep 882 to 980 hours in 7 weeks.
The correct response is: 882 to 980 hours.
For the direct variation equation y=38x , what is the constant of proportionality?(1 point)The constant of proportionality is .
Apologies for the incomplete response.
For the direct variation equation y = 38x, the constant of proportionality is 38.