Final answer:
The percent of change can be greater than 100%. An example confirming this is when the value of a stock increases from $5 to $11, resulting in a percent change of 120%, which is indeed greater than 100%.
Step-by-step explanation:
A percent of change can indeed be greater than 100%. When calculating the percent of change, we use the formula: Percent Change = (Change in Value / Original Value) x 100%. To see if a change can be more than 100%, let's analyze the provided examples.
When a stock price increases from $75 to $150, the change in value is $150 - $75 = $75. Using the formula, percent change = ($75 / $75) x 100% = 100%. This is a 100% increase, not greater than 100%. So, option a is incorrect.
For the stock rising from $5 to $11, the change is $11 - $5 = $6. Using the formula, percent change = ($6 / $5) x 100% = 120%. This is an increase greater than 100%, making option b the correct answer.
For Maya's bank account increasing from $4,000 to $9,500, the change is $9,500 - $4,000 = $5,500. Percent change = ($5,500 / $4,000) x 100% = 137.5%, which is greater than 100%, so option c is incorrect.
Lastly, for avocados increasing in price from $0.79 to $1.79, the change is $1.79 - $0.79 = $1. Percent change = ($1 / $0.79) x 100% = approximately 126.58%, so option d is also incorrect as the change is greater than 100%.