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?
A The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
B The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
C The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
D The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
C The constant of proportionality is 7. It takes the crew of workers 7 days 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.
A y=600/3
B y= 600 x 3
C 600 = 3x
D 3= 600x
B y= 600 x 3
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 number of hours a tiger will sleep in 7 weeks, we can multiply the number of hours it sleeps in one day (18-20 hours) by the number of days in 7 weeks.
The minimum number of hours the tiger will sleep in 7 weeks is 18 hours/day * 7 days/week * 7 weeks = 882 hours.
The maximum number of hours the tiger will sleep in 7 weeks is 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 = 7x
B 125,000= 7/x
C x = 125,000/ 7
D y = 125,000 × 7
The correct equation to help Jamal find out how much he will earn if he continues at the same rate of pay for 7 years is:
D) y = $125,000 × 7
In this equation, y represents the amount Jamal will earn, and $125,000 is his annual salary. Multiplying his annual salary by 7 represents the total amount he will earn over 7 years.