For f(x) = -5x +9, find f'(15)
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The graph illustrated is divided into three seperate sections namely <em>A, B and C,</em> the short story culled from the graph is described thus:
Rate of change or slope = (Rise/ Run)
- <em>Rise = y2 - y1 </em>
- <em>Run = x2 - x1 </em>
<u>SECTION A:</u><u> </u>
Slope = (40 - 0) ÷ (20 - 0) = 40/20 = 2
Distance traveled = 50 meters
<u>SECTION B</u> :
This section gives an horizontal line, hence, the slope is 0.
Distance covered = 0 ; as there was no change in the distance over the period of time.
<u>SECTION</u><u> </u><u>C</u><u>:</u>
Slope = (80 - 50) ÷ (70 - 60) = 30/10 = 3
The total distance traveled = 80 - 50 = 30 meters
<u>The total </u><u>distance</u><u> </u><u>and</u><u> </u><u>time spent traveling</u> :
Total distance traveled = (50 + 30) = 80 meters
Total time spent = 70 seconds (<em>time at the 80 meter mark</em>)
Hence, the story.
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63%
To express as a percentage divide 630 g by 1 Kg and multiply by 100%
note that 1 Kg = 1000 g ( units must be the same)
× 100% = 63%