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9. The table of values represents the number of bacteria in a culture every 20 minutes.
How much greater is the average rate of change over the interval [40, 60] than the
interval [0,20]?
Time
Number of bacteria
0
100
20
200
40
400
60
800

9 The table of values represents the number of bacteria in a culture every 20 minutes How much greater is the average rate of change over the interval 40 60 tha class=

Respuesta :

  • (0,100)
  • (20,200)
  • (40,400)
  • (60,800)

For [0,20]

Average rate of change

  • 200-100/20=100/20=5

for [40,60]

  • (800-400)/60-40
  • 400/20
  • 20

Difference

  • 20-5=15

Answer:

15

Step-by-step explanation:

Average rate of change over interval [40, 60] :

  • A(x) = f(60) - f(40) / 60 - 40
  • A(x) = 800 - 400 / 20
  • A(x) = 400 / 20
  • A(x) = 20

Average rate of change over interval [0, 20] :

  • A(x) = f(20) - f(0) / 20 - 0
  • A(x) = 200 - 100 / 20
  • A(x) = 100 / 20
  • A(x) = 5

Change in interval :

  • 20 - 5
  • 15
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