Maths-
General
Easy
Question
The line graph shows the wind speed recorded every 2 hours in a town, where x is the number of hours after midnight and is the wind speed, in miles per hour (mph). What is the greatest average change in wind speed, in miles per hour per hour, between two readings shown in the graph?
The correct answer is: 5 (in miles/ hr)
HINT :- The greatest average change in wind speed in miles per hour in the graph can be determined by the slope of the line connecting the two consecutive points in the graph .
Explanation :
The greatest average change in wind speed in miles per hour in the graph can be determined by the slope of the line connecting the two consecutive points in the graph .
Step 1 : calculating all possible slopes to find the greatest average speed
So slope of line connecting the readings (0,5) and (2,9) is
m=
So slope of line connecting the readings (2,9) and (4,4) is
m=
So slope of line connecting the readings (4,4) and (6,2) is
m=
So slope of line connecting the readings (6,2) and (8,6) is
m=
So slope of line connecting the readings (8,6) and (10,16) is
m=
So slope of line connecting the readings (10,16) and (12,8) is
m=
So slope of line connecting the readings (12,8) and (14,12) is
m=
So slope of line connecting the readings (14,12) and (16,10) is
m=
So the greatest average change in the wind speed is m5 = 5 () in between the interval (8,6) and (10,16).
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