anonymous
  • anonymous
"Certain learning processes may be illustrated by the graph of an equation of the form f(x) = a + b(1 – e–cx) , where a, b, and c are positive constants. Suppose a manufacturer estimates that a new employee can produce five items the first day on the job. As the employee becomes more proficient, the daily production increases until a certain maximum production is reached. Suppose that on the nth day on the job, the number f(n) of items produced is approximated by the following formula. f(n)=3+20(1-e^-0.1n) a) Estimate the number of items produced on the 6th day, the 26th day, the 28th day, a
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathteacher1729
  • mathteacher1729
All you do here is substitute n = 6, 26 , and 28 into the formula.
anonymous
  • anonymous
i did but didn't get the answer(
mathteacher1729
  • mathteacher1729
You might have to round. Also be careful with parenthesis \[\huge f(6 ) = 3 + 20 *\left(1 - e^{(-0.1\cdot (6))} \right)\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathteacher1729
  • mathteacher1729
I've attached a graph of this function, made in geogebra. (an awesome program if you have never used it -- USE IT! :D )
1 Attachment
Mertsj
  • Mertsj
\[f(6)=3+20(1-e ^{-.1(6)})=12.0\]
Mertsj
  • Mertsj
Is that what you got?
anonymous
  • anonymous
ok, i got)) thank you)
Mertsj
  • Mertsj
\[f(26)=3+20(1-e ^{-.1(26)})=21.5\]
anonymous
  • anonymous
a) f(n) approaches 0, b) f(n) approaches 23 c) f(n) approaches 30 d) equal to 23
mathteacher1729
  • mathteacher1729
Ok so I went crazy and made a little video about this. Sorry for the sound quality. http://www.screenr.com/MoS8

Looking for something else?

Not the answer you are looking for? Search for more explanations.