Question

A scuba diver is diving at a constant rate when her team on the surface requests a status update. She looks at her watch which says her elevation is 18 feet below sea level. 8 seconds later, her elevation is 20 feet below sea level. A. At what rate is her elevation changing? Use a signed number, and include the unit of measurement in your answer. B.How many more seconds until she reaches her goal depth of 50 feet? Explain or show your reasoning. C.How many seconds before her team requested an update was the diver at the surface of the water? Explain or show your reasoning.

Answer 1

Answer:

-0.25 ; 120 seconds 72 seconds

Step-by-step explanation:

Dive rate is constant :

Change in elevation after 8 seconds :

18 feets to 20 feets below

Rate of change = distance / time

(18 - 20) feets / 8 seconds

(-2 / 8) = - 0.25 feets per second

To reach 50.feets :

She needs to cover (50 - 20) = 30 feets

Time = distance / speed ; 30 feets / 0.25 = 120 seconds

C.) At the time update was requested, elevation = 18 feets below sea level

Surfave of water = 0 feets

Since rate is - 0.25 feets per second

Time = (0 - 18) / - 0.25

Time = - 18 / - 0.25

Time = 72 seconds

72 seconds update was requested, deliver was at the surface