For the direct variation equation y=223x , what is the constant of proportionality?(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
3
3
223
2 Start Fraction 2 over 3 End Fraction
2
The constant of proportionality for the equation y=223x is 223.
The constant of proportionality for the direct variation equation y=223x is 223.
To determine the constant of proportionality in a direct variation equation, you can look at the equation itself. In this case, the equation is y = 223x. The constant of proportionality is the coefficient of x, which is 223. Therefore, the correct answer is 223.
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 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 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 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
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The correct answer is: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
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
y=6003
y equals Start Fraction 600 over 3 End Fraction
3=600x
3 equals 600 x
y=600×3
y equals 600 times 3
600=3x
The correct answer is: 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
126 to 140 hours
126 to 140 hours
882 to 980 hours
882 to 980 hours
2.5 to 2.9 hours
2.5 to 2.9 hours
630 to 700 hours
To find the number of hours a tiger will sleep in 7 weeks, we can multiply the range of hours it sleeps in a day by the number of days in 7 weeks.
The range of hours a tiger sleeps in a day is 18 to 20 hours.
Number of hours in a week: 7 days/week * 24 hours/day = 168 hours/week.
Number of hours in 7 weeks: 7 weeks * 168 hours/week = 1176 hours.
So, the tiger will sleep between 18 hours/ day * 1176 hours = <<18*1176=21168>>21,168 hours and 20 hours/day * 1176 hours = <<20*1176=23520>>23,520 hours in 7 weeks.
Therefore, the tiger will sleep between 21,168 to 23,520 hours in 7 weeks.
The correct answer is: 21,168 to 23,520 hours.
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
x=125,0007
x equals Start Fraction 125,000 over 7 End Fraction
125,000=7x
125,000 equals 7 x
y=125,000×7
y equals 125,000 times 7
125,000=7x