Cooper estimates his bag has 20 cans of soda in it, but it actually only has 14 cans of soda. What is the percent error in Cooper's estimate? \( [?] \% \) Round to the nearest whole percent.

To find the percent error in Cooper's estimate, we need to calculate the difference between his estimated number of cans of soda (20) and the actual number of cans of soda (14), and then divide that difference by the actual number of cans of soda and multiply by 100 to get the percent error. The formula for percent error is: \[ \text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100 \] Given: Estimated number of cans of soda = 20 Actual number of cans of soda = 14 Substitute the values into the formula: \[ \text{Percent Error} = \left( \frac{20 - 14}{14} \right) \times 100 \] Now, let's calculate the percent error. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(20-14\right)}{14}\times 100\) - step1: Remove the parentheses: \(\frac{20-14}{14}\times 100\) - step2: Subtract the numbers: \(\frac{6}{14}\times 100\) - step3: Reduce the fraction: \(\frac{3}{7}\times 100\) - step4: Multiply: \(\frac{3\times 100}{7}\) - step5: Multiply: \(\frac{300}{7}\) The percent error in Cooper's estimate is approximately 42.8571%. Rounded to the nearest whole percent, the percent error is 43%.