This module provides practice problems designed to mimic real life applications of functions.
Laura is selling doughnuts for 35¢ each. Each customer fills a box with however many doughnuts he wants, and then brings the box to Laura to pay for them. Let n represent the number of doughnuts in a box, and let
$c$ represent the cost of the box (in cents).
If the box has 3 doughnuts, how much does the box cost?
If
$c=\text{245}$ , how much does the box cost? How many doughnuts does it have?
If a box has n doughnuts, how much does it cost?
Write a function
$c\left(\mathrm{n}\right)$ that gives the
cost of a box , as a function of the
number of doughnuts in the box.
Worth is doing a scientific study of graffiti in the downstairs boy’s room. On the first day of school, there is no graffiti. On the second day, there are two drawings. On the third day, there are four drawings. He forgets to check on the fourth day, but on the fifth day, there are eight drawings. Let d represent the day, and g represent the number of graffiti marks that day.
Fill in the following table, showing Worth’s four data points.
d (day)
g (number of graffiti marks)
If this pattern keeps up, how many graffiti marks will there be on day 10?
If this pattern keeps up, on what day will there be 40 graffiti marks?
Write a function
$g\left(\mathrm{d}\right)$ ) that gives the
number of graffiti marks as a function of the
day .
Each of the following is a set of points. Next to each one, write “yes” if that set of points
could have been generated by a function, and “no” if it
could not have been generated by a function. (You do
not have to figure out what the function is. But you may want to try for fun—I didn’t just make up numbers randomly…)
Make up a function that has something to do with
movies .
Think of a scenario where there are two numbers, one of which depends on the other. Describe the scenario, clearly identifying the
independent variable and the
dependent variable .
Write the function that shows how the dependent variable depends on the independent variable.
Now, plug in an example number to show how it works.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?