Which situation involves a change modeled by a positive number but an end result modeled by a negative number?

Leo enters an elevator on the second floor and goes down four floors.
A plane, flying at an altitude of 300 feet, descends 50 feet.
Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.
April owes her brother $5. On Friday, she gets $10 for her allowance.

1 answer

The situation that involves a change modeled by a positive number but an end result modeled by a negative number is:

April owes her brother $5. On Friday, she gets $10 for her allowance.

In this case, the positive change is represented by the $10 allowance she receives. However, since she owes $5, the end result, after applying her allowance, would still leave her with a net of $5 (receiving $10 but having to give $5 to her brother). If it were presented in another context, like if she owed instead of received, it could potentially yield a negative balance in debt.

But directly comparing each scenario:

  1. Leo's situation: He changes floors by going down 4 (a negative movement), so the result reflects downward movement numerically as well (-2 to -2 - 4 = -2).

  2. The airplane: descends from 300 feet to 250 feet (also a positive change in altitude reflecting downward movement).

  3. Irene's case: swims from -30 feet to -20 feet (a positive change of 10 feet toward the surface but the result is still negative).

  4. April's case: where the positive allowance of $10 could leave her in a positive cash situation once the debt is considered.

Based on the question premise specifically looking for a change that was a positive addition to an initially negative result, Irene's diving situation is specifically correct.

Final Answer: Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.