For the direct variation equation y=2 2/3x, what is the constant of proportionality?(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
3
3
2 2/3
2 Start Fraction 2 over 3 End Fraction
2
The constant of proportionality for the direct variation equation y=2 2/3x is 2 2/3.
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)
Responses
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 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 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 all of their road projects.
The constant of proportionality for the equation y=7x is 7. In this context, it means that for each additional road project completed by the crew of workers, it will take them 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.(1 point)
Responses
600=3x
600 equals 3 x
3=600x
3 equals 600 x
y=600×3
y equals 600 times 3
y=600/3
y=600*3
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
630 to 700 hours
630 to 700 hours
126 to 140 hours
126 to 140 hours
2.5 to 2.9 hours
2.5 to 2.9 hours
882 to 980 hours
882 to 980 hours
To find the number of hours a tiger will sleep in 7 weeks, we can calculate the range of hours it sleeps in a day (18 to 20) and multiply it by the number of days in 7 weeks (7 * 7 = 49).
The tiger will sleep 18 hours * 49 days = 882 hours to 20 hours * 49 days = 980 hours.
Therefore, the tiger will sleep approximately 882 to 980 hours in 7 weeks.
Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?(1 point)
Responses
125,000=7/x
125,000 equals Start Fraction 7 over x End Fraction
y=125,000×7
y equals 125,000 times 7
125,000=7x
125,000 equals 7 x
x=125,000/7
The equation that will help Jamal find how much he will earn if he continues at the same rate of pay for 7 years is:
y = 125,000 * 7
This equation represents multiplying the annual salary ($125,000) by the number of years (7) to find the total earnings over that period of time.
To find the constant of proportionality in a direct variation equation, you need to look at the coefficient of the independent variable (x). In this case, the coefficient of x is 2 2/3. To find the constant of proportionality, you need to convert this mixed number into a fraction.
To convert 2 2/3 into a fraction, you multiply the whole number (2) by the denominator of the fraction (3) and add the numerator of the fraction (2). This gives you 6 + 2 = 8.
Therefore, the constant of proportionality in the direct variation equation y = 2 2/3x is 8.