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4-97. Use absolute value to write an expression doscribing the sise of each - An elevation of 250 feek. a. A crolit card balance of \( \$ 23.75 \). b. A football player rushed for -5 yands. c. A bank balance of \( \$ 198.32 \). d. An elevation of Death Valley of \( -\$ 6 \mathrm{~m} \).

Ask by Vaughn Mccoy. in the United States
Mar 11,2025

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Answer

- Elevation of 250 feet: 250 feet - Credit card balance of \$23.75: \$23.75 - Football player's rushing yards of -5 yards: 5 yards - Bank balance of \$198.32: \$198.32 - Elevation of Death Valley of -6 meters: 6 meters

Solution

- For an elevation of 250 feet, the size is given by \[ |250| = 250 \text{ feet}. \] - For a credit card balance of \(\$23.75\), the size is \[ |23.75| = 23.75. \] - For a football player’s rushing yards of \(-5\) yards, the size is \[ |-5| = 5 \text{ yards}. \] - For a bank balance of \(\$198.32\), the size is \[ |198.32| = 198.32. \] - For an elevation in Death Valley of \(-6\) meters (indicating 6 meters below a reference level), the size is \[ |-6| = 6 \text{ meters}. \]

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When describing the size of elevations and balances with absolute values, it's all about taking the numeric distance from zero, ignoring any negative signs. a. For an elevation of 250 feet, the absolute value expression is \( |250| \), which simply equals 250 feet. b. A credit card balance of \( -\$ 23.75 \) translates to the absolute value \( |-23.75| \), which is \( \$ 23.75 \). c. The expression for a football player who rushed for -5 yards is \( |-5| \), resulting in 5 yards. d. Finally, the bank balance of \( -\$ 198.32 \) is expressed as \( |-198.32| \), giving \( \$ 198.32 \), and the elevation of Death Valley at \( -6 \mathrm{~m} \) is \( |-6| \), which indicates a size of 6 meters below sea level.

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