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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)

User Chrisandra
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2 Answers

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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.

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

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].

User Milad Elyasi
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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)
User Cyrielle
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