The table below represents the distance of an airplane from its destination as a function of time:Time(hours)x Distance(miles)y0 2,7001 2,1602 1,6203 1,0804 540Part A: What is the y-intercept of the function, and what does this tell you about the airplane? (4 points)Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points)Part C: What would be the domain of the function if the airplane continued to travel at this rate until it reached its destination? (2 points)
Question
Answer:
Part A) the Y intercept is where x = 0. Y intercept = 2,700. This means the plan is 2700 miles away from it's destinationPart B) at X1 y = 2160X4 y = 540rate of change = y2-y1 over x2-x1 using X4 and X1rate of change = 540 -2160 / 4-1 = -1620/3 = -540 for every 1 hour traveled the plane is getting 540 miles closer to it's destination
Part C) the domain would be all the X numbers so at hour 4 it is 540, the rate of change is also 540 so at hour 5 it would be at it's destination so the domain would be (0,1,2,3,4,5)
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