The table below represents the velocity of a car as a function of time.

Table:

Time Velocity

(hour) (miles/hour)

x y

0 50

1 52

2 54

3 56

Part 1: What is the y-intercept of the function, and what does this tell you about the car?

Part 2: Calculate the average rate of change of the functino represented by the table between x=1 to x=3 hours, and what does the average rate represent?

Part 3: What would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion?1

Question

Scarlet Levy

Mathematics

9 May, 06:50

The table below represents the velocity of a car as a function of time.

Table:

Time Velocity

(hour) (miles/hour)

x y

0 50

1 52

2 54

3 56

Part 1: What is the y-intercept of the function, and what does this tell you about the car?

Part 2: Calculate the average rate of change of the functino represented by the table between x=1 to x=3 hours, and what does the average rate represent?

Part 3: What would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion?1

+2

Answers (1)

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Schultz · Answer 1

We plot these data where x corresponds to the time and y corresponds to the velocity. Using the calculator, y - intercept is equal to 50. y-intercept is the y-value when x is zero. The car is accelerating. The average rate of change when x = 1 to x=3 is (56-52) / (3-1) or 2 miles/hour^2. The car would reach 60 miles/hour when x=5 from the acceleration of 2. Domain is 5.