Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
![\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt](https://tex.z-dn.net/?f=%20%5Cint_%7B1%7D%5E%7B3%7D%20%28110%20%2B%200.5t%5E2%20-%200.9t%29%20dt%20)
![\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt](https://tex.z-dn.net/?f=%20%5Cint_%7B1%7D%5E%7B3%7D%20%28110%20%2B%20%5Cdfrac%7Bt%5E2%7D%7B2%7D%20-%20%5Cdfrac%7B9t%7D%7B10%7D%29%20dt%20)
![= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}](https://tex.z-dn.net/?f=%3D%20110t%20%2B%20%5Cdfrac%7Bt%5E3%7D%7B6%7D%20-%20%5Cdfrac%7B9t%5E2%7D%7B20%7D%20%5CBiggr%7C_%7B1%7D%5E%7B3%7D)
![= 330.45 - 109.72](https://tex.z-dn.net/?f=%20%3D%20330.45%20-%20109.72%20)
![= 220.7333](https://tex.z-dn.net/?f=%20%3D%20220.7333%20)
Answer: 221
Answer: 1733.28 in^2
Step-by-step explanation: