For the direct variation equation y=2 2/3x , what is the constant of proportionality?(1 point) Responses
The constant of proportionality is 2 2/3 (or 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?
The constant of proportionality in this equation is 7. In this context, it means that for every 1 increase in the number of road projects, it takes 7 weeks for the crew of workers to complete all the projects. This implies that the rate at which the crew completes the projects is constant, regardless of the number of projects.
so the answer is???//
The constant of proportionality is 7.
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 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 1 road project
these are the answers you have to pick
The correct answer is: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
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
To find the constant of proportionality in a direct variation equation, you need to compare the y-value to the x-value. In the equation y = (2 2/3)x, the constant of proportionality is the coefficient of x, which is (2 2/3).
To convert the mixed number (2 2/3) to an improper fraction, multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (2). This gives us (6 + 2) / 3 = 8/3.
Therefore, the constant of proportionality is 8/3.
We can use the direct variation equation, y = kx, to find the number of miles a jet travels in 3 hours.
Let y be the number of miles traveled and x be the number of hours. We are given that the rate at which the jet is flying is 600 mph, so x = 3 hours and y = 600 miles.
Substituting these values into the direct variation equation gives us:
600 = k * 3
To solve for k, we divide both sides of the equation by 3:
k = 600 / 3 = 200
Therefore, 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 = 200x