\begin{tabular}{|l|}\hline \( \begin{array}{l}\text { 7. Describe and correct the error Karl made in } \\ \text { solving the problem below. } \\ \text { What number is } 24 \% \text { of } 80 ? \\ \frac{80}{x}=\frac{24}{100} \\ x=333 \frac{1}{3}\end{array} \)\end{tabular}

Karl set up the proportion incorrectly. The problem asks, “What number is 24% of 80?” This means we want to find x such that x is 24% of 80. The correct way to write this is:   x / 80 = 24 / 100 This says that x is to 80 as 24 is to 100, which correctly represents 24% of 80. Solving this, we cross-multiply:   100x = 80 × 24   100x = 1920   x = 1920 / 100   x = 19.2 Instead, Karl set up the proportion as:   80 / x = 24 / 100 This reverses the roles of 80 and x. When you solve 80/x = 24/100, you end up with:   80 × 100 = 24 × x   8000 = 24x   x = 8000 / 24   x ≈ 333⅓ Thus, Karl’s error was that he placed x in the wrong position in the ratio. The correct equation to model “24% of 80” is x/80 = 24/100, which gives the correct answer, x = 19.2.