Question

A factory produces bicycles at a rate of 105 + 0.4 t 2 − 0.5 t bicycles per week ( t in weeks). How many bicycles were produced from day 15 to 28?

Answer 1

214 bicycles

Explanation:

t = day 15 to 28

= week 2 to 4

total bicycles:

`\int\limits^4_2 {105+0.4t^2-0.5t} \, dt`

`=105t+(0.4)/(3) t^3-(0.5)/(2) t^2\ (2 < t < 4)`

`=(105(4)+(0.4)/(3) (4)^3-(0.5)/(2) (4)^2)-(105(2)+(0.4)/(3) (2)^3-(0.5)/(2) (2)^2)`

`=(420+(25.6)/(3) -4)-(210+(3.2)/(3)-1)`

`=214\ bicycles`