The equation \(|-25| = 25\) represents the absolute value of \(-25\), which is 25. We need to find a word problem from the options provided that leads to this result.
Let's analyze each option:
A. Jorelle meets up with a friend and spends $25 for a meal. How much did Jorelle spend for a meal?
- This does not involve negative values. The answer would simply be $25, not related to the absolute value.
B. Amy paid Dan back $25. How much money did Dan receive?
- This also does not involve negative values. The answer would be $25, not related to the absolute value.
C. Martin received his September salary on the 30th day. He was paid $500. The day after, his boss realized that he made a mistake in Martin’s pay and gave Martin an additional $25. What is the magnitude of Martin’s salary adjustment?
- The adjustment involves adding $25, and the magnitude of the adjustment is indeed 25. This relates to absolute value, as it does not matter in this context whether the adjustment is considered a negative or positive change; we are only looking at the magnitude.
D. In a certain card game, each player tries to gain points while causing the other players to lose points. On her turn, Lorice gained 25 points but lost 15 points. How many points did Lorice gain?
- This problem does not focus on absolute values. Lorice's net gain would need to be calculated but does not relate to \(|-25| = 25\).
Based on this analysis, the best option that correlates with the solution \(|-25| = 25\) is:
C. Martin received his September salary on the 30th day. He was paid $500. The day after, his boss realized that he made a mistake in Martin’s pay and gave Martin an additional $25. What is the magnitude of Martin’s salary adjustment?