Question

In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth

Answer 1

The first percent change in river depth from 1846 to 1847 is -36%, indicating a decrease. The second change from 1847 to 1848 is 112.5%, indicating an increase.

Step-by-step explanation:

The question asks to calculate the percent change in river depth for two consecutive years. To find the percent change, you use the formula:

Percent Change = (New Value - Old Value) / Old Value × 100%

To calculate the change from 1846 to 1847:

• Old Value = 5 feet (1846)
• New Value = 3.2 feet (1847)
• Percent Change = ((3.2 - 5) / 5) × 100% = -36%

This represents a 36% decrease in depth.

To calculate the change from 1847 to 1848:

• Old Value = 3.2 feet (1847)
• New Value = 6.8 feet (1848)
• Percent Change = ((6.8 - 3.2) / 3.2) × 100% = 112.5%

This represents a 112.5% increase in depth.

Answer 2

1846= 0% change

1847= 3.2/5 ×100 = 64% decrease in river

1848= 6.8/3.2 ×100 = 212.5% increase

( used 3.2 because that was the last record)