Question

The price of a radio changes from $40.00 to $44.00.
a) True
b) False

Answer 1

a) True

e

The price increase from $40.00 to $44.00 represents a 10% rise, confirming the statement.

Step-by-step explanation:

The price increase from $40.00 to $44.00 indicates a rise in value. To verify this change, we can calculate the percentage increase using the formula:

`\[ \text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} * 100 \]`

Substituting the given values:

`\[ \text{Percentage Increase} = (44.00 - 40.00)/(40.00) * 100 = (4.00)/(40.00) * 100 = 10\% \]`

The positive percentage increase confirms that the price has indeed risen, supporting the statement that the price of the radio has increased from $40.00 to $44.00.

In financial or mathematical contexts, a positive percentage increase signifies growth, while a negative percentage indicates a decrease. In this case, the 10% increase in price is a clear indicator of a higher value for the radio, affirming the truth of the statement.

Therefore, the correct answer is (a) True, as the price of the radio has experienced a 10% increase from $40.00 to $44.00.