Equations of Proportional Relationships Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
For the direct variation equation y=38x , what is the constant of proportionality?(1 point)
The constant of proportionality is
.

13 answers

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
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?(1 point)
The constant of proportionality is
34
sorry 3/4
The correct constant of proportionality in this situation is 3/4.
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?(1 point)
The hummingbird will flap its wings
125 times.
how come?
To find out how many times the hummingbird will flap its wings in 15 seconds, we need to convert the 15 seconds into minutes.

There are 60 seconds in a minute, so to convert 15 seconds into minutes, we divide 15 by 60:

15 seconds / 60 seconds/minute = 0.25 minutes

Now, since the hummingbird flaps its wings 5,000 times in 1 minute, we can find the number of times it will flap its wings in 0.25 minutes:

0.25 minutes * 5,000 times/minute = 1,250 times

Therefore, the hummingbird will flap its wings 1,250 times in 15 seconds. I apologize for the previous incorrect response.
In 2 days, Quinesha exercises 50 minutes. At this rate, how many minutes does she exercise in 4 weeks?(1 point)
Quinesha exercises
minutes in 4 weeks.
To find out how many minutes Quinesha exercises in 4 weeks, we need to determine the number of minutes she exercises in 1 day and then multiply it by the total number of days in 4 weeks.

In 2 days, Quinesha exercises 50 minutes. So, in 1 day, she exercises 50 minutes divided by 2 days, which equals 25 minutes per day.

Now, we know that there are 7 days in a week. So, to find the number of minutes Quinesha exercises in 4 weeks, we multiply 25 minutes/day by 7 days/week and then by 4 weeks:

25 minutes/day * 7 days/week * 4 weeks = 700 minutes

Therefore, Quinesha exercises 700 minutes in 4 weeks.
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