Question

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1. when steve woke up. his temperature was $102^circ$ f. two hours later it was $3^circ$ lower. what was his temperature then?

1. an elevator is on the twentieth floor. it goes down 11 floors and then up 5 floors. what floor is the elevator on now?

1. a deep - sea exploring ship is pulling up a diver at the rate of 25 feet per minute. the diver is 200 feet below sea level. how deep was the diver 10 minutes ago?

1. if it is $5^circ$ outside and the temperature will drop $17^circ$ in the next six hours, how cold will it get?

1. josie has $47 left on her checking account. if she writes a check for $55, what will josie’s balance be?

Explanation:

Problem 1

Step1: Identify initial and change

Initial temp: \( 102^\circ \text{F} \), change: \( -3^\circ \text{F} \) (lower).

Step2: Calculate new temperature

\( 102 - 3 = 99 \)

Step1: Initial floor and first move

Initial: 20th floor, down 11: \( 20 - 11 = 9 \)

Step2: Second move (up 5)

\( 9 + 5 = 14 \)

Step1: Rate and time

Rate: 25 ft/min (up), time: 10 min. Distance pulled up: \( 25 \times 10 = 250 \) ft.

Step2: Initial depth

Current depth: 200 ft (below), so 10 min ago: \( 200 + 250 = 450 \) ft below.

Answer:

\( 99^\circ \text{F} \)

Problem 2