Determine whether the statement makes sense or does not make sense, and explain your reasoning. The rent increased from 30% to 40% of your income, so the percent increase is 10% Choose the correct answer below. A. It does not make sense because the percent increase is (40% -30% )/(40% )=25% B. It does not make sense because the percent increase is (40% -30% )/(30% )approx 33.33% C. It does not make sense because your income decreases by 10% D. It does make sense because the percent increase is 40% -30% =10%

To determine whether the statement makes sense or not, we need to calculate the percent increase in rent based on the given information.<br /><br />The rent increased from $30\%$ to $40\%$ of your income. To find the percent increase, we need to calculate the difference between the new rent percentage and the old rent percentage, and then divide it by the old rent percentage.<br /><br />The formula for calculating the percent increase is:<br /><br />Percent increase = $\frac{New rent percentage - Old rent percentage}{Old rent percentage} \times 100\%$<br /><br />In this case, the new rent percentage is $40\%$ and the old rent percentage is $30\%$. Plugging these values into the formula, we get:<br /><br />Percent increase = $\frac{40\% - 30\%}{30\%} \times 100\%$<br /><br />Simplifying the expression, we have:<br /><br />Percent increase = $\frac{10\%}{30\%} \times 100\%$<br /><br />Percent increase = $\frac{1}{3} \times 100\%$<br /><br />Percent increase = $33.33\%$<br /><br />Therefore, the correct answer is B. It does not make sense because the percent increase is $\frac{40\% - 30\%}{30\%} \approx 33.33\%$.