Answer:
d = -1.6t + -4.5
When it takes 5 minutes, d = -484.5 meters
Step-by-step explanation:
For this problem we need to construct the equation based on the given scenario.
Let d represent the depth of the dolphin in meters
Let t represent the time in seconds
Let R represent the rate the dolphins dives in meters per second
Let D represent the initial elevation below the water in meters.
So, we can construct the following equation:
d = Rt + D
We are given R = -1.6 since the dolphin is diving (going down) and not climbing (going up)
We are also given D = -4.5 since the dolphin is below the water not above it.
Using these givens, we can construct the equation to find the depth of the dolphin, d, for any time t.
d = -1.6t + -4.5
Now, where will the dolphin be after 5 minutes? Well our equation is for time t in seconds, so how many seconds are in 5 minutes?
(5 minutes) * ( 60 seconds per 1 minute) = 300 seconds.
So, let t be 300 seconds for our equation.
d = -1.6*300 + -4.5
d = -480 + -4.5
d = -484.5
Therefore, after 5 minutes the dolphin is 484.5 meters below the water.
Cheers.
