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Mathematics 13 Online
OpenStudy (pucusana):

A copy machine makes copies at a constant rate. The machine can make 80 copies in 2 1/2 minutes. Write an equation to represent the number of copies, n, that can be made over any time interval, t.

OpenStudy (pucusana):

would anyone help me?

OpenStudy (mathmale):

"The machine can make 80 copies in 2 1/2 minutes. " Let's simplify that a bit to obtain a nicer-looking unit rate / conversion factor. \[\frac{ 80.copies }{ 2\frac{ 1 }{ 2 }.minutes}\]

OpenStudy (mathmale):

This can be reduced. Converting 2 1/2 into the improper fraction 5/2, divide 80 by 5/2. What do you get?

OpenStudy (pucusana):

32

OpenStudy (mathmale):

Yes, 32 copies per minute. Very good.

OpenStudy (pucusana):

i still have more

OpenStudy (mathmale):

Now let t=time in minutes. Let C(t) be a function that returns the number of copies made for any time t. Write the function: C(t)=?

OpenStudy (pucusana):

Complete the table below. t (time in minutes) Linear equation: n (number of copies) 0 0.25 0.5 0.75 1

OpenStudy (mathmale):

Hint: (# of copies as a function of time) = (rate at which copies are made) * (time elapsed)

OpenStudy (pucusana):

this is in a chart give em a minite

OpenStudy (pucusana):

|dw:1454101392882:dw|

OpenStudy (mathmale):

Please see my previous comment. I need for you to finish writing the function, C(t), that gives the number of copies made as a function of time, t.

OpenStudy (mathmale):

Everything OK? I need your participation to continue with this problem solution. How is the number of copies made, C(t), a function of time, t?

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