Question
4-97. Use absolute value to write an expression describing the size of each amount. An elevation of 250 feet. a. A credit card balance of \( \$ 23.75 \). b. A football player rushed for -5 yards. c. A bank balance of \( \$ 198.32 \). d. An elevation of Death Valley of -86 m .
Ask by Brooks Morgan. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. The size of the credit card balance is \$23.75.
b. The size of the rushed yards is 5 yards.
c. The size of the bank balance is \$198.32.
d. The size of the elevation is 86 meters.
Solution
a. The size of a credit card balance of \( \$23.75 \) is given by
\[
|23.75| = 23.75.
\]
b. The size of a rushed total of \(-5\) yards is
\[
|-5| = 5.
\]
c. The size of a bank balance of \( \$198.32 \) is
\[
|198.32| = 198.32.
\]
d. The size of an elevation of Death Valley at \(-86\) m is
\[
|-86| = 86.
\]
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Simplify this solution Extra Insights
To express the size of each amount using absolute value, we want to eliminate any negative signs, focusing solely on how much they represent. For the examples given: a. The absolute value of the credit card balance is represented as \( | -23.75 | = 23.75 \). b. For the football player's rush, the absolute value becomes \( | -5 | = 5 \) yards. c. The bank balance's size is expressed as \( | -198.32 | = 198.32 \). d. The elevation of Death Valley translates to \( | -86 | = 86 \) meters. These transformations show how absolute value captures the concept of "size" regardless of direction!
