Answer:
To find out how many bicycles were produced from day 8 to day 28, you'll need to calculate the total production during this time interval.
First, you need to convert the time interval from days to weeks since the production rate is given in weeks. There are 7 days in a week, so the interval from day 8 to day 28 is equivalent to the interval from week 1 to week 4.
Now, let's calculate the production for each week and then sum them up:
Week 1 (t=1):
Production = 110 + 0.1(1)^2 - 1.1(1) = 110 - 1 = 109 bicycles
Week 2 (t=2):
Production = 110 + 0.1(2)^2 - 1.1(2) = 110 + 0.4 - 2.2 = 108.2 bicycles
Week 3 (t=3):
Production = 110 + 0.1(3)^2 - 1.1(3) = 110 + 0.9 - 3.3 = 107.6 bicycles
Week 4 (t=4):
Production = 110 + 0.1(4)^2 - 1.1(4) = 110 + 1.6 - 4.4 = 107.2 bicycles
Now, sum up the productions for all four weeks:
Total production from week 1 to week 4 = 109 + 108.2 + 107.6 + 107.2 = 432 bicycles
So, from day 8 to day 28, the factory produced a total of 432 bicycles.
Explanation: