5.1.3 Rate of Change and Slope − Worksheet
Example 1:
1. The table shows the volume of gasoline in a gas tank at different times. Find the rate of change for each time interval. During which time interval did the volume decrease at the greatest rate?
Time (h)
0 1 3 6 7 12 9 5 1 1
Volume (gal)
Example 2:
2. The table shows a person’s heart rate over time. Graph the data and show the rates of change.
Time (min)
0 2 5 7 10 64 92 146 84 64
Heart Rate (beats/min)
Example 3: Find the slope of each line. 3. y
4.
y
4
4
(0, 2)
(4, 2)
2
2
x
x
0
0
–4
–2
2
4
(–2, –1)
(4, –1)
–2
–2
–4
–4
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