A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?
A. 630 to 700 hours
B. 2.5 to 2.9 hours
C. 882 to 980 hours
D. 126 to 140 hours
To find the total number of hours a tiger will sleep in 7 weeks, we need to multiply the number of hours it sleeps in a day by the number of days in a week and then by the number of weeks:
Total hours = 20 hours/day × 7 days/week × 7 weeks = 980 hours.
Therefore, the correct answer is C. 882 to 980 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
A. 125,000 = 7/x
B. 125,000 = 7x
C. y = 125,000 x 7
D. x = 125,000/7
The correct equation that will help Jamal find how much he will earn if he continues at the same rate of pay for 7 years is:
B. 125,000 = 7x
This equation represents the idea that his earnings, represented by x, will be equal to $125,000 per year, and he will work for 7 years. By multiplying the yearly earnings by the number of years, he can find the total amount he will earn over that period.
For the direct variation equation y = 2 2/3x, what is the constant of proportionality?
A. 3
B. 2 2/3
C. 2/3
D. 2
In a direct variation equation represented by the form y = kx, the constant of proportionality, k, is the coefficient of x.
In the given equation y = 2 2/3x, the coefficient of x is 2 2/3.
Therefore, the constant of proportionality for the equation is B. 2 2/3.
The equation y = 7x gives the relationship between the number of road projects, , 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?
A. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
B. The constant of proportionality is 7 It takes the crew of workers 7 days to complete 1 road project.
C. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects
D. The constant of proportionality is 7 It takes the crew o lorkers 7 days to complete all of their road protects
The constant of proportionality in the equation y = 7x is 7.
In this context, it means that for every increase of 1 in the number of road projects (x), the number of weeks it takes the crew of workers to complete all the projects (y) increases by a constant value of 7. This implies that each road project takes the same amount of time to complete, and the rate at which the projects are completed is consistent.
Therefore, the correct answer is A. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.