Question

The table below represents the distance of a car from its destination as a function of time: Time (hours) x Distance (miles) y 0 900 1 850 2 800 3 750 Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (4 points) Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Answer 1

The y-interception is y=900 or(0,900) which means that a car must travel 900 miles for the final destination. And every hour driven is 50 miles.

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The average rate of change isIt represents how many miles per one hour changes the distance from a destination.

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Domain of this function if the car traveled the same rate until it reached its destination:

0=-50x+900

50x=900

x=900/50=18

Domain: x∈ [0, 18].

Answer 2

part A you can figure out that the car is traveling at 50 miles an hour because after every hour the distance decreases by 50

b the average change is 100 miles for every 2 hours, which can be simplified back to 50mph which represents the speed of the car

part C {y=-50x+900| (0,900),...(18,0)