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is a. Write each decrease as a percent. Illustrate each answer with a number line. is The price of gasoline decreased from \( 79.9 \mathrm{C} / \mathrm{L} \) to \( 75.9 \mathrm{C} / \mathrm{L} \). b) The area of rain forest in Jamaica decreased from 128800 ha in 1981 to 122000 ha in 1990 .

Ask by Huff Watkins. in Canada
Feb 27,2025

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Answer

a) The price of gasoline decreased by approximately 5.01%. b) The area of the rain forest in Jamaica decreased by approximately 5.28%.

Solution

a) To find the decrease in price as a percent, we can use the formula: \[ \text{Percent decrease} = \left( \frac{\text{Original price} - \text{New price}}{\text{Original price}} \right) \times 100 \] Given: Original price = \( 79.9 \mathrm{C} / \mathrm{L} \) New price = \( 75.9 \mathrm{C} / \mathrm{L} \) Substitute the values into the formula: \[ \text{Percent decrease} = \left( \frac{79.9 - 75.9}{79.9} \right) \times 100 \] \[ \text{Percent decrease} = \left( \frac{4}{79.9} \right) \times 100 \] \[ \text{Percent decrease} \approx 5.01\% \] Therefore, the price of gasoline decreased by approximately 5.01%. b) To find the decrease in the area of the rain forest in Jamaica as a percent, we can use the same formula as in part a: \[ \text{Percent decrease} = \left( \frac{\text{Original area} - \text{New area}}{\text{Original area}} \right) \times 100 \] Given: Original area = 128800 ha New area = 122000 ha Substitute the values into the formula: \[ \text{Percent decrease} = \left( \frac{128800 - 122000}{128800} \right) \times 100 \] \[ \text{Percent decrease} = \left( \frac{6800}{128800} \right) \times 100 \] \[ \text{Percent decrease} \approx 5.28\% \] Therefore, the area of the rain forest in Jamaica decreased by approximately 5.28%.

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Bonus Knowledge

When calculating the percentage decrease in the price of gasoline from \( 79.9 \mathrm{C}/\mathrm{L} \) to \( 75.9 \mathrm{C}/\mathrm{L} \), the decrease is \( 79.9 - 75.9 = 4 \mathrm{C}/\mathrm{L} \). To find the percentage, use the formula: \((\text{decrease} / \text{original}) \times 100\). Thus, \((4 / 79.9) \times 100 \approx 5.01\%\). On a number line, you would mark 79.9 at the left and 75.9 further right, showing the decrease. For the rain forest area, the decrease from 128800 ha to 122000 ha is \( 128800 - 122000 = 6800 \text{ ha} \). The percentage decrease is \((6800 / 128800) \times 100 \approx 5.28\%\). On a number line, you would similarly place 128800 on the left and 122000 to its right, visually representing that decrease.

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