For the direct variation equation y = 2 2/3 x, what is the constant of proportionality? *2 2/3*
The equation y = 7x gives the relationship between the number of riad projects, x, and the number of weeks it takes a crew of workers to complete an the projects, y. What is the constant of proportionality? *the constant of proportionality is 7. It takes the crew of workers 7 weeks to complete one project*
Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at 600mp. *y=600x3*
A tiger sleps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks? *882 to 980 hours*
Jamal earns $125,000 a year as a system 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? * y=125,00 x 7*
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To find the constant of proportionality in a direct variation equation, you need to examine the relationship between the variables involved. In the first example, the direct variation equation is y = 2 2/3 x.
The constant of proportionality can be determined by observing that the equation can be rewritten as y = (8/3)x. Therefore, the constant of proportionality is 8/3 or 2 2/3.
In the second example, the equation y = 7x represents the relationship between the number of road projects, x, and the number of weeks it takes to complete the projects, y. In this case, the constant of proportionality is 7. This means that for every additional road project, it would take 7 weeks to complete.
For the third example, you are asked to write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a speed of 600 miles per hour. In this case, the equation would be y = 600x, where y represents the number of miles traveled and x represents the number of hours. Since we are given that the jet is flying for 3 hours, we can substitute x = 3 into the equation to find y. Therefore, y = 600 * 3 = 1800 miles.
In the fourth example, a tiger sleeps 18 to 20 hours a day, and you are asked to determine how many hours it will sleep in 7 weeks. To find the range of hours that the tiger will sleep, you can multiply the range by the number of days in 7 weeks. The range is 20 - 18 = 2 hours. So, the tiger will sleep between 2 hours and 14 hours each day. Multiplying this range by the number of days in 7 weeks (7 * 7 = 49 days) gives you a range of 98 to 686 hours that the tiger will sleep in 7 weeks.
Lastly, for the equation y = $125,000 x 7, this represents the relationship between the number of years worked, x, and the amount earned, y. By substituting x = 7 into the equation, we can find the amount Jamal will earn if he continues at the same rate for 7 years. Therefore, y = $125,000 * 7 = $875,000. Thus, Jamal would earn $875,000 if he continues at the same rate for 7 years.