Where Form 8865 Proportional 2024

Hi, in this video, we're going to start talking about inverse proportionality. In the previous video, we talked about direct proportion. If you have a look at the playlist on YouTube, it will give you an indication of the kind of issues that surround direct proportion. Alternatively, you can have a look at the post on maths Ratko UK, where we discussed and gave an example of inverse proportionality using earnings. We said that earnings are proportional to the hours worked and used a constant term called K in the formula. For example, in the UK, earnings may be eight pounds per hour, while in America, it may be $50 per hour. This direct proportionality means that earnings increase with more hours worked. Today's video will focus on inverse proportionality, which means that there is still a proportional relationship but as one side increases, the other side decreases at the same rate. A good example of this is speed and time. For instance, if you drive somewhere very fast, your speed increases but the time it takes to get there decreases. To write this inverse proportionality, we use the formula "speed is inversely proportional to time," which is written as 1 over time. An example exam question will be provided in the description below or you can visit the Matco UK website for quick tests you can try on your own. The given question deals with painting a fence. The information given is that it takes four people three hours to paint the fence. The question asks how long it will take six people to paint the same length of fence. This is a typical inverse proportionality question. The first part involves calculating the value of K, which represents the rate at which the four people work, or the amount of fence panels...