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D=1,874-0.55 t
The distance, 
D, in meters, between an antarctic glacier and the coast 
t days after January 1 , 2010 is approximated by the equation. How does the distance between the glacier and the coast change over time?
Choose 1 answer:
(A) The glacier moves 0.55 meters per day closer to the shore.
(B) The glacier moves 1,874 meters per day closer to the shore.
(C) The glacier moves 0.55 meters per day further from the shore.
(D) The glacier moves 1,874 meters per day further from the shore.

D=1,8740.55t D=1,874-0.55 t \newlineThe distance, D D , in meters, between an antarctic glacier and the coast t t days after January 11 , 20102010 is approximated by the equation. How does the distance between the glacier and the coast change over time?\newlineChoose 11 answer:\newline(A) The glacier moves 00.5555 meters per day closer to the shore.\newline(B) The glacier moves 11,874874 meters per day closer to the shore.\newline(C) The glacier moves 00.5555 meters per day further from the shore.\newline(D) The glacier moves 11,874874 meters per day further from the shore.

Full solution

Q. D=1,8740.55t D=1,874-0.55 t \newlineThe distance, D D , in meters, between an antarctic glacier and the coast t t days after January 11 , 20102010 is approximated by the equation. How does the distance between the glacier and the coast change over time?\newlineChoose 11 answer:\newline(A) The glacier moves 00.5555 meters per day closer to the shore.\newline(B) The glacier moves 11,874874 meters per day closer to the shore.\newline(C) The glacier moves 00.5555 meters per day further from the shore.\newline(D) The glacier moves 11,874874 meters per day further from the shore.
  1. Analyze Equation: Analyze the given equation.\newlineThe equation provided is D=1,8740.55tD = 1,874 - 0.55t. This equation describes the distance DD between an Antarctic glacier and the coast as a function of time tt days after January 11, 20102010.
  2. Coefficient of extit{t}: Determine the meaning of the coefficient of extit{t}. The coefficient of extit{t} in the equation is 0-0.5555. This indicates the rate of change of the distance with respect to time. Since it is negative, it means that as time increases, the distance D decreases.
  3. Interpret Rate of Change: Interpret the rate of change.\newlineThe rate of change of the distance DD with respect to time tt is 0.55-0.55 meters per day. This means that each day, the glacier moves 0.550.55 meters closer to the coast.
  4. Choose Correct Answer: Choose the correct answer.\newlineBased on the interpretation of the rate of change, the correct answer is that the glacier moves 0.550.55 meters per day closer to the shore.

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