What are real-life examples of inverse proportion? - Socratic
2017年10月5日 · In an inverse variation, as one of the quantities increases, the other quantity decreases. In real-life this applies to: Completing a task. If there are more people working on the task, it will be completed in less time. Fewer people will take longer. Travelling at a faster speed If you travel a distance at a slower speed. the time taken will increase. Sharing out a given …
What is the difference between direct and inverse proportion and …
2017年8月10日 · In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). #k = x/y# In an indirect (or inverse) proportion, as one quantity increases, the other decreases. If more people share a task, it will be done in less time. Travelling at a faster speed means a trip will take less ...
Why is acceleration inversely proportional to mass? - Socratic
2018年4月28日 · acceleration equals to the force applied divided by mass an object moving at a velocity of x carries the force of its mass times its speed. when you apply a force onto an object, the increase in speed of it would be affected by its mass. Think of it this way: you apply some force onto an iron ball, and apply the same force on a plastic ball (they are of equal volume). …
If x varies inversely with y and x = 8 when y = 10, how do you find …
2016年6月16日 · y = 40/3 or 13 1/3 This is an example of inverse proportion, or inverse variation. To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant. y prop 1/x y = k/x rArr k = xy k= 8 xx 10 = 80 So, y = (80)/x When x = 6, " " y = (80)/(6) y = 40/3 or 13 1/3
What does acceleration is inversely proportional to mass mean?
2024年6月1日 · Since F = m a, and for a fixed force F, m and a are inversely related. This becomes so clear as we rewrite the equation as m = F/a. So m is inversely proportional to the acceleration produced
Suppose y is inversely proportional to x. If y = 6 when x ... - Socratic
2017年7月31日 · If y is inversely proportional to x, and if y=6 when x=4 then underline(y=24/x). Using this formula we find that if y=8 then underline(x=3) Given, y is inversely proportional to x or y prop x^(-1) this is if and only if y prop 1/x <=> y=1/x k Also, we know that if y=6 when x=4 then 6=1/4 k <=> multiply both sides by 4 24=k this is our constant of proportionality => this gives …
Is 2y=1/5x a direct proportion or a inverse porportion?
2018年5月12日 · Direct proportion Given: 2y=1/5x. Divide by 2 to isolate y. y=1/5x-:2 =1/10x Direct proportion is in the form of y=kx, inverse proportion is in the form of y=k/x. Here, k=1/10, and so y is directly proportional to x.
If a varies inversely as b, and a = 3 when b = 4 then what ... - Socratic
2016年6月16日 · b= 1/4 This is an example of inverse proportion, or inverse variation. To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant. aprop 1/b rArr a = k/b rArr k = ab Find the value of k, using the a and b given. k= 3xx4 = 12 So, a = (12)/b " can also be written as " b = 12/a When a = 48, " " b = …
If y varies inversely as x, and y = 12 as x = 2, how do you ... - Socratic
2016年7月9日 · Write as an inverse proportion first then make an equation by multiplying by k, #yprop1/x " " rArr " " y = k/x " " k = x xx y# Find the value of k.
The length of a rectangle with constant area varies ... - Socratic
2016年6月16日 · This is an example of inverse proportion. The product of two quantities remains the same, in this case the area. Thinking through the question logically we can see that if one quantity is halved the other must be doubled to keep the product the same. #area = l xx b rArr A = 18 xx 8# However now we have # A = ?? xx 9#