Question

a hot air balloon flew through the sky. the table gives increases in the balloon’s altitude (in feet) for five time periods. use the table to answer the questions. time period increase in altitude (feet) period 1 -375 period 2 -51 period 3 167 period 4 243 period 5 0 (a) during which time period did the balloon move downward the most? ∘ period 1 ∘ period 2 ∘ period 3 ∘ period 4 ∘ period 5 (b) during which time period did the balloon move upward the most? ∘ period 1 ∘ period 2 ∘ period 3 ∘ period 4 ∘ period 5 (c) what did it mean for the balloon to have a negative increase in altitude? ∘ the balloon moved upward. ∘ the balloon moved neither upward nor downward. ∘ the balloon moved downward.

Explanation:

Part (a)

Step1: Understand downward movement

Negative values in altitude increase mean downward movement. We compare the absolute values of negative increases.

Step2: Compare absolute values

For Period 1: $|-375| = 375$; Period 2: $|-51| = 51$. Since $375 > 51$, Period 1 has the largest downward movement.

Step1: Understand upward movement

Positive values in altitude increase mean upward movement. We compare the positive values.

Step2: Compare positive values

Period 3: 167; Period 4: 243. Since $243 > 167$, Period 4 has the largest upward movement.

Step1: Interpret negative increase

A negative increase in altitude means the balloon's altitude decreased, which corresponds to moving downward.

Answer:

A. Period 1

Part (b)