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.The equation provided is D=1,874−0.55t. This equation describes the distance D between an Antarctic glacier and the coast as a function of time t days after January 1, 2010.
Coefficient of extit{t}: Determine the meaning of the coefficient of extit{t}. The coefficient of extit{t} in the equation is −0.55. 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.
Interpret Rate of Change: Interpret the rate of change.The rate of change of the distance D with respect to time t is −0.55 meters per day. This means that each day, the glacier moves 0.55 meters closer to the coast.
Choose Correct Answer: Choose the correct answer.Based on the interpretation of the rate of change, the correct answer is that the glacier moves 0.55 meters per day closer to the shore.
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