A submarine is at the surface of the ocean. It begins its descent at a rate of 100 feet per minute. Write a linear model in the

Question

3 years ago

12

A submarine is at the surface of the ocean. It begins its descent at a rate of 100 feet per minute. Write a linear model in the

form d(t)=mt+b where d(t) represents the depth of the submarine relative to sea level, in feet, after t minutes into its descent. Be sure to include "d(t) =" in your answer. (Note: when the submarine is below sea level, its depth is a negative quantity)

Mathematics

2 answers:

AlladinOne [14] · Answer 1 · 2022-07-04T12:30:35+03:00

AlladinOne [14]3 years ago

8 0

Answer:

d(t)=-100t

Step-by-step explanation:

d is the independent variable and t is the dependent variable. The rate of descent has to be negative so that the altitude decreases compared to sea level. The initial sea level is 0.

Bingel [31] · Answer 2 · 2022-07-04T10:32:56+03:00

Answer:

d(t) = -100t

Step-by-step explanation:

The general expression for the linear model is:

$d(t)=mt+b$

Since the submarine already starts at sea level, b=0:

$d(t)=mt$

The constant "m" is the rate at which the submarine descends in feet per minute. Considering depth as a negative quantity, m=-100

$d(t)=-100t$

The linear model that represents the depth of the submarine relative to sea level, in feet, after t minutes is d(t) = -100t.