The graph (in the link below) shows the relationship between distance and time for the Olympic-record 10,000-meter run set by Kenenisa Bekele in 2008.
www.webassign.net/aufinteralg8/3-4-028.gif
the two points are (0,0), and (27.02, 10000)
A) for the slope I got 370.1
B) Write a sentence that states the meaning of the slope.
The average a)______ of the runner was b)_______ c) ___________.
the options for a) are
-distance
-speed
-time
b) I have to enter an number
the options for c) are
-m
-m/min
-min
To find the slope of the graph, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
In this case, the two points are (0,0) and (27.02, 10000).
The change in the y-coordinate is 10000 - 0 = 10000, and the change in the x-coordinate is 27.02 - 0 = 27.02.
Now we can calculate the slope:
slope = (10000) / (27.02) ≈ 370.1
So for part A, the correct slope is indeed 370.1.
Now for part B, the slope represents the rate of change between distance and time. In this case, since the slope is positive, it means that as time increases, the distance covered by the runner also increases.
Now for part C, let's analyze the options:
a) The average of the runner refers to a quantity that is typically calculated for a set of values. In this case, we are interested in the rate of change between distance and time, so "average distance" or "average time" would not be suitable. The best option is "average speed," which represents the rate of change of distance with respect to time.
b) To calculate the average speed, we need to divide the total distance covered by the total time taken. Since this information is not provided, we cannot determine the exact value. You would need additional information to answer this part.
c) The unit for the average speed is typically expressed in distance per unit time. The most suitable option is "m/min," which stands for meters per minute.