Respuesta :
Answer:
(a) 81 items
(b) 104 items
(c) 155 items
Step-by-step explanation:
Given:
The expression for the number of items produced by a new employee daily after 't' days on the job is given as:
[tex]l(t)=45\ln(t+1)[/tex]
(a) Number of days (t) = 5
Average number of items produced can be obtained by plugging in 5 for 't' in the above expression. This gives,
[tex]l(t=5)=45\ln(5+1)\\\\l(t=5)=45\ln 6\\\\l(t=5)=80.6\approx 81[/tex]
Therefore, nearly 81 items are produced after 5 days.
(b) Number of days (t) = 9
Average number of items produced can be obtained by plugging in 9 for 't' in the above expression. This gives,
[tex]l(t=9)=45\ln(9+1)\\\\l(t=9)=45\ln 10\\\\l(t=9)= 103.6\approx 104[/tex]
Therefore, nearly 104 items are produced after 9 days.
(c) Number of days (t) = 30
Average number of items produced can be obtained by plugging in 30 for 't' in the above expression. This gives,
[tex]l(t=30)=45\ln(30+1)\\\\l(t=30)=45\ln 31\\\\l(t=31)=154.5\approx 155[/tex]
Therefore, nearly 155 items are produced after 30 days.
