Questions: The number 75 is increased to 79. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Solution Steps

The number is increased from 75 to 79. The increase is: \[ 79 - 75 = 4 \]

The percentage increase is calculated using the formula: \[ \text{Percentage Increase} = \left(\frac{\text{Increase}}{\text{Original Number}}\right) \times 100 \] Substituting the values: \[ \text{Percentage Increase} = \left(\frac{4}{75}\right) \times 100 \]

\[ \text{Percentage Increase} = \frac{4 \times 100}{75} = \frac{400}{75} \approx 5.3333\% \]

Rounding 5.3333% to the nearest tenth of a percent gives: \[ 5.3\% \]

Final Answer