Imagine that your neighbor is scrolling through social media. Your cousin is considering making an in-app purchase. Your neighbor shows you advertisements for products that make bold claims:
“Get rich quick! Do you want to work fewer hours for the same amount of money per hour, and get even richer? Click here to see how you can relax and earn. You’ll work 10 fewer hours at the same wage, and you’ll still make more money!”
“Get hydrated now! Do you hate drinking water? Click here to see how drinking less water is actually the secret to having more water in your body. It’s the study the government doesn’t want you to see!”
Select one of the advertisements and advise your cousin:
Represent the advertisement’s claim with a sample mathematical statement.
“Get rich quick! Do you want to work fewer hours for the same amount of money per hour, and get even richer? Click here to see how you can relax and earn. You’ll work 10 fewer hours at the same wage, and you’ll still make more money!”
Mathematical representation: Working fewer hours (x - 10) while earning the same amount of money per hour (y) will result in making more money than working the initial number of hours (x).
Advise to cousin: It is important to be cautious of such bold claims as they often tend to be misleading or even scams. It is unlikely that working fewer hours would result in making more money, unless there is a clear explanation of how this can be achieved. It is always advisable to thoroughly research and verify such claims before making any in-app purchase.
Let's select the first advertisement: "Get rich quick! Do you want to work fewer hours for the same amount of money per hour, and get even richer? Click here to see how you can relax and earn. You’ll work 10 fewer hours at the same wage, and you’ll still make more money!"
To represent this claim with a sample mathematical statement, we can say:
If the cousin currently works for "x" hours at a wage of "y" dollars per hour, and follows the method suggested in the advertisement, they will work "x - 10" hours at the same wage of "y" dollars per hour, and still make more money.
Mathematically, it can be represented as: (x - 10) * y > x * y
Here, (x - 10) represents working 10 fewer hours, and x represents the current number of hours worked. "y" represents the wage per hour.