Respuesta :
Answer:
The average rate of change in grams from day 4 to day 7 is approximately 0.11 grams/day
Step-by-step explanation:
The table for the radioactivity in iodine-131 can be presented as follows;
[tex]{}[/tex] [tex]{}[/tex]Radioactivity in iodine-131
Grams [tex]{}[/tex] Day
1.83 [tex]{}[/tex] 1
1.68 [tex]{}[/tex] 2
1.54 [tex]{}[/tex] 3
1.41 [tex]{}[/tex] 4
1.30 [tex]{}[/tex] 5
1.19 [tex]{}[/tex] 6
1.09 [tex]{}[/tex] 7
1.00 [tex]{}[/tex] 8
The average rate of change in grams from day 4 to day 7 is given as follows;
[tex]The \ rate \ of \ change \ from \ day \ 4 \ to \ day \ 7 = \dfrac{F(7) - F(4) }{7 - 4} = \dfrac{1.09 - 1.41 }{7 - 4} =-\dfrac{8}{75}[/tex]
The average rate of change in grams from day 4 to day 7 = -8/75 ≈ 0.11 g/day
The average rate of change in grams from day 4 to day 7 ≈ 0.11 grams/day rounded to the tenths place.
The average rate of change in grams per day from day 4 to day 7 is 0.11.
Calculation of the average rate of change:
Radioactivity in iodine-131
Grams Day
1.83 1
1.68 2
1.54 3
1.41 4
1.30 5
1.19 6
1.09 7
1.00 8
Now the average rate should be
= F(7) - F(4) \ 7 - 4
= 1.09-1.41 \3
= -8\75
= 0.11
hence, The average rate of change in grams per day from day 4 to day 7 is 0.11.
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