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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=1,8740.55tD=1,874-0.55 t\newlineThe distance, DD, in meters, between an antarctic glacier and the coast tt 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 0.550.55 meters per day closer to the shore.\newline(B) The glacier moves 1,8741,874 meters per day closer to the shore.\newline(C) The glacier moves 0.550.55 meters per day further from the shore.\newline(D) The glacier moves 1,8741,874 meters per day further from the shore.

Full solution

Q. D=1,8740.55tD=1,874-0.55 t\newlineThe distance, DD, in meters, between an antarctic glacier and the coast tt 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 0.550.55 meters per day closer to the shore.\newline(B) The glacier moves 1,8741,874 meters per day closer to the shore.\newline(C) The glacier moves 0.550.55 meters per day further from the shore.\newline(D) The glacier moves 1,8741,874 meters per day further from the shore.
  1. Analyze Equation: Analyze the given equation to understand how the distance changes with time.\newlineThe equation given is D=1,8740.55tD = 1,874 - 0.55t. This equation suggests that the distance DD is a function of time tt. The coefficient of tt, which is 0.55-0.55, indicates the rate of change of the distance with respect to time.
  2. Interpret Coefficient: Determine the meaning of the coefficient of tt in the context of the problem.\newlineSince the coefficient of tt is 0.55-0.55, this means that for each day that passes, the distance DD decreases by 0.550.55 meters. This is because the negative sign indicates a decrease in the distance as time increases.
  3. Choose Correct Answer: Choose the correct answer based on the analysis.\newlineThe correct answer is that the glacier moves 0.550.55 meters per day closer to the shore, which corresponds to option (A).

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