Question

1. mp you be the teacher your friend finds the percent increase from 18 to 26. is your friend correct? explain your reasoning.

\\(\frac{26 - 18}{26} \approx 0.31 = 31\\%\\)

Explanation:

Step1: Recall percent increase formula

Percent increase is calculated as $\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100\%$.

Step2: Identify old and new values

Old value is 18, new value is 26.

Step3: Calculate correct percent increase

Using the formula, $\frac{26 - 18}{18}=\frac{8}{18}\approx0.444 = 44.4\%$.

Step4: Analyze friend's mistake

Friend used the new value (26) as the denominator instead of the old value (18), which is incorrect.

Answer:

The friend is not correct. The correct formula for percent increase is $\frac{\text{New}-\text{Old}}{\text{Old}}\times100\%$. Here, old value is 18, so it should be $\frac{26 - 18}{18}=\frac{8}{18}\approx44.4\%$, not using 26 as the denominator.