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.
Understand Equation Analysis: 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 term −0.55t indicates that the distance decreases by 0.55 meters for each day that passes, because the coefficient of t is negative.
Rate of Change Determination: Determine the rate of change of the distance with respect to time. The coefficient of t in the equation is −0.55, which means that for each increase of one day in time t, the distance D decreases by 0.55 meters. This is the rate of change of the distance with respect to time.
Correct Answer Selection: Choose the correct answer based on the rate of change.Since the distance decreases by 0.55 meters per day, the correct answer is:A) The glacier moves 0.55 meters per day closer to the shore.
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