Question 312926: An anthropologist drives a car at a speed of 30mph along a straight road in Giza Egypt while on a discovery trip. The distance D(t) traveled by the anthropologist as a function of time t is given as D(t)=30t.
1) What variable represents the domain and which variable represents the range in this problem?
2) What does the value 30mph represent in this function? Explain
3) the Initial position of the anthropologist's vehicle at the start of time is t=0. Use the given function to find D(3). Explain what your answer means.
4) If you were to graph D(t), what would be the appropriate domain? range? Explain.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An anthropologist drives a car at a speed of 30mph along a straight road in Giza Egypt while on a discovery trip. The distance D(t) traveled by the anthropologist as a function of time t is given as D(t)=30t.
1) What variable represents the domain and which variable represents the range in this problem?
Domain: t
Range: D(t)
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2) What does the value 30mph represent in this function? Explain
Ans: 30 is the slope.
For each increase of 1 for "t", D(t) increases by 30.
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3) the Initial position of the anthropologist's vehicle at the start of time is t=0. Use the given function to find D(3). Explain what your answer means.
D(3) = 30*3 = 90 miles
When the car travels for 3 hrs at 30mph the distance traveled is 90 miles.
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4) If you were to graph D(t), what would be the appropriate domain? range? Explain.
Domain: t >= 0
Range: D(t)>= 0
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Cheers,
Stan H.
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