Answer :
The slope of the line segment representing the period of speed decrease in the table is -10, indicating a decrease of 10 mph per second. the correct answer is D).
To determine the slope of the line segment that represents the period of time during which the speed decreases, we need to analyze the data from the table provided
Elapsed
Time
(sec) Speed (mph)
1 45
2 35
3 25
4 15
5 15
6 15
The speed remains constant at 15 mph for the last three time intervals (4, 5, and 6 seconds). To calculate the slope, we can focus on the first three data points (1, 2, and 3 seconds) when the speed is decreasing.
Using the formula for slope (change in y / change in x), we can calculate the slope between the first two points
Slope = (Speed at 2 seconds - Speed at 1 second) / (Elapsed Time at 2 seconds - Elapsed Time at 1 second)
= (35 - 45) / (2 - 1)
= -10
The slope between the first two points is -10 mph per second. Since the speed continues to decrease by 10 mph per second in the subsequent data points, the slope remains consistent.
Therefore, the correct answer is b) The slope of the decrease is -10.
To know more about slope:
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--The given question is incomplete, the complete question is given below " You brake your car from a speed of 55 mph. The table shows data that represent your car's speed versus the amount of time elapsed from the moment that you began to brake. Elapsed Time (sec) Speed (mph) 1 45 2 35 3 25 4 15 5 15 6 15 Evaluate the following graph based on the data in the table. What is the slope of the line segment that represents the period of time during which the speed decreases? a. The slope of the decrease is 0. c. The slope of the decrease is 10. b. The slope of the decrease is -10. d. The slope of the decrease is -11."--
