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Kyle types college reports for $2.15 per page. He also charges $5 to cover the cost of supplies. Write an expression for total earnings for typing a report of p pages. Then evaluate the expression for a 28-page report.

  5 + 2.15p; $65.20
2.15p + 5; $60.20
2.15 + 5p; $142.15
(2.15 + 5)p; $200.20
 Jun 16, 2014

Best Answer 

 #3
avatar+2353 
+5

The expression is given by some fixed costs (5 dollars),

and by some costs depending on how many pages there are (2 dollars and 15 cents).

Therefore for one page we have

$$5 + 2.15$$

for two pages we have

$$5 + 2.15 + 2.15$$

and for p pages we have

$$\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }p\\
5+\overbrace{2.15+2.15+...+2.15+2.15}$$

or similarly

$$5+2.15p$$

If we evaluate this for 28 pages we have

$${\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.15}}{\mathtt{\,\times\,}}{\mathtt{28}} = {\frac{{\mathtt{326}}}{{\mathtt{5}}}} = {\mathtt{65.2}}$$

 Jun 16, 2014
 #1
avatar+2353 
0

I'll answer if you remove the 5 points you've given yourself 

 Jun 16, 2014
 #2
avatar+831 
0

KOOL-AID Jun 16, 2014
 #3
avatar+2353 
+5
Best Answer

The expression is given by some fixed costs (5 dollars),

and by some costs depending on how many pages there are (2 dollars and 15 cents).

Therefore for one page we have

$$5 + 2.15$$

for two pages we have

$$5 + 2.15 + 2.15$$

and for p pages we have

$$\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }\mbox{ }p\\
5+\overbrace{2.15+2.15+...+2.15+2.15}$$

or similarly

$$5+2.15p$$

If we evaluate this for 28 pages we have

$${\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.15}}{\mathtt{\,\times\,}}{\mathtt{28}} = {\frac{{\mathtt{326}}}{{\mathtt{5}}}} = {\mathtt{65.2}}$$

reinout-g Jun 16, 2014

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