Question

The equation y = 7x gives the relationship between the number of road projects, a, 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)
• 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 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 weeks to complete 1 road project.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The constant of proportionality is 7. It means that for every increase of 1 in the number of road projects, it takes the crew of workers 7 weeks to complete all of their projects.

Answer 2

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)

O y = 600
3
0 3 = 600%
O y = 600 × 3
• 600 = 3%

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct direct variation equation is:

y = 600 * 3

This equation represents the relationship between the number of miles traveled (y) and the time in hours (3) with a constant rate of 600 mph.

Answer 4

A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks? (1 point)

630 to 700 hours
2.5 to 2.9 hours
• 126 to 140 hours
882 to 980 hours

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the number of hours a tiger will sleep in 7 weeks, we can multiply the average number of hours a tiger sleeps per day (19) by the number of days in 7 weeks (49).

19 hours/day * 49 days = 931 hours

Therefore, a tiger will sleep approximately 931 hours in 7 weeks.

Answer 6

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)

• х =
.125,000
7
• 125, 000 = _
• 125, 000 = 7x
• y = 125, 000 × 7

Answer 7

[AI-generated answer — Bot GPT 3.5]

The correct equation that will help Jamal find out 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 the relationship between the total earnings (y) and the number of years (7) with a constant rate of $125,000 per year.