D=1,874−0.55tThe 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.
Q. D=1,874−0.55tThe 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.
Analyze Equation: Analyze the given equation to understand how the distance changes with time.The equation given is D=1,874−0.55t. This equation suggests that the distance D is a function of time t. The coefficient of t, which is −0.55, indicates the rate of change of the distance with respect to time.
Interpret Coefficient: Determine the meaning of the coefficient of t in the context of the problem.Since the coefficient of t is −0.55, this means that for each day that passes, the distance D decreases by 0.55 meters. This is because the negative sign indicates a decrease in the distance as time increases.
Choose Correct Answer: Choose the correct answer based on the analysis.The correct answer is that the glacier moves 0.55 meters per day closer to the shore, which corresponds to option (A).
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