3. Write each increase as a percent. Illustrate each answer with a number line. a) The price of a house increased from \( \$ 210000 \) to \( \$ 225000 \). b) The elastic stretched from 10 cm to 13 cm .
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To calculate the percentage increase for a house price from \( \$ 210,000 \) to \( \$ 225,000 \), we use the formula: \[ \text{Percentage Increase} = \left(\frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\right) \times 100 \] Here, it would be \[ = \left(\frac{225000 - 210000}{210000}\right) \times 100 = \left(\frac{15000}{210000}\right) \times 100 \approx 7.14\% \] On a number line, you can illustrate this by marking points for \( 210,000 \) and \( 225,000 \), indicating the increase. For the elastic's stretch from 10 cm to 13 cm, we apply the same percentage increase formula: \[ = \left(\frac{13 - 10}{10}\right) \times 100 = \left(\frac{3}{10}\right) \times 100 = 30\% \] On a number line, you can mark \( 10 \) cm and \( 13 \) cm with an arrow indicating the stretch.