During the production of phone cases, \( 10 \% \) of raw plastic is wasted. If the company needs 5,000 cases, how much plastic should they purchase? 4.556 Unit of plastic 3,4446 units of plastic , 5,556 units of plastic. 2,446 units of plastic
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To produce 5,000 phone cases with a \(10\%\) waste rate, the company needs to account for the wasted plastic. If \(x\) is the amount of plastic purchased, then \(90\%\) of \(x\) will be used effectively. This gives us the equation \(0.9x = 5000\). Solving for \(x\) gives \(x = \frac{5000}{0.9} = 5555.56 \) units of plastic. So, the correct amount of plastic the company should purchase is approximately \(5,556\) units. You can think of it like baking a cake: if you need enough cake for 10 people but have a habit of eating some batter, you should mix a little extra to ensure everyone gets a slice. In this case, the plastic is the batter, and the \(10\%\) waste is those tasty samples you just can't resist!