For the direct variation equation y= 2 2/3x , what is the constant of proportionality?
13 answers
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.
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.
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.
For the direct variation equation y = 38x, the constant of proportionality is 38.
Donte is told that for a particular math problem, the value of y is always 8 times the value of x . Donte writes the equation y=8x to show the relationship between x and y . What is the constant of proportionality?(1 point)The constant of proportionality is
The constant of proportionality in the equation y = 8x is 8.
Baker 1 bakes the same number of cookies each hour she works. She baked 1,200 cookies in a 6-hour period of working. Baker 2 bakes 250 cookies each hour. Compare the proportional relationships. Which baker bakes fewer cookies per hour?(1 point)Baker bakes fewer cookies per hour.
To compare the proportional relationships, we need to determine the number of cookies each baker bakes per hour.
Baker 1 baked a total of 1,200 cookies in a 6-hour period of working. To find the number of cookies she bakes per hour, we divide the total number of cookies by the number of hours:
1,200 cookies รท 6 hours = 200 cookies per hour.
Baker 2 bakes 250 cookies each hour.
Comparing the two values, Baker 1 bakes fewer cookies per hour (200) compared to Baker 2 (250).
Therefore, the correct response is: Baker 1 bakes fewer cookies per hour.
Baker 1 baked a total of 1,200 cookies in a 6-hour period of working. To find the number of cookies she bakes per hour, we divide the total number of cookies by the number of hours:
1,200 cookies รท 6 hours = 200 cookies per hour.
Baker 2 bakes 250 cookies each hour.
Comparing the two values, Baker 1 bakes fewer cookies per hour (200) compared to Baker 2 (250).
Therefore, the correct response is: Baker 1 bakes fewer cookies per hour.
1 answer