For the direct variation equation y=38x , what is the constant of proportionality?
The constant of proportionality for the direct variation equation 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 for the equation y=8x is 8.
A group of hikers is packing trail mix. The direct variation equation y=34x shows the relationship between number of hikers, x , and number of cups of trail mix, y . What is the constant of proportionality in this situation?
The constant of proportionality in this situation is 34.
A hummingbird flaps its wings 5,000 times a minute when hovering in place. How many times will it flap its wing in 15 seconds?
To find out how many times the hummingbird will flap its wing in 15 seconds, we need to convert 15 seconds into minutes (since we know the rate in minutes).
There are 60 seconds in a minute, so we can divide 15 by 60 to convert it into minutes:
15 seconds / 60 seconds/minute = 0.25 minutes.
Now we can use the rate given to calculate how many times the hummingbird will flap its wing in 0.25 minutes:
Number of wing flaps = 5,000 flaps/minute * 0.25 minutes = 1,250 flaps.
Therefore, the hummingbird will flap its wings 1,250 times in 15 seconds.
In 2 days, Quinesha exercises 50 minutes. At this rate, how many minutes does she exercise in 4 weeks?(1 point)
To determine how many minutes Quinesha exercises in 4 weeks, we need to find out how many minutes she exercises per day first.
In 2 days, Quinesha exercises for a total of 50 minutes. To find the average number of minutes she exercises per day, we divide this by 2:
50 minutes / 2 days = 25 minutes per day.
Now, we need to determine how many days are in 4 weeks. Since each week contains 7 days, 4 weeks will have:
4 weeks * 7 days/week = 28 days.
Finally, to find the total number of minutes Quinesha exercises in 4 weeks, we multiply the minutes per day by the number of days:
25 minutes/day * 28 days = 700 minutes.
Therefore, Quinesha exercises for 700 minutes in 4 weeks.
In the direct variation equation y = kx, the constant of proportionality, denoted by k, represents the relationship between the variables y and x. It determines how much y changes for each unit change in x.
To find the constant of proportionality in the equation y = 38x, you can compare it with the standard form of a direct variation equation, which is y = kx.
By comparing the equations, we see that in this case, the constant of proportionality (k) is 38.
So, for the direct variation equation y = 38x, the constant of proportionality is 38.