+0  
 
0
25
4
avatar+383 

 Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art pottery. The regular cost is $40 per person. There is a group special which costs $25 per person with an additional $150 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.

 

(a)   When would the two admission prices be the same?

(b)   How much would it cost to bring 6 people on the field trip for the regular price, and how much for the group special?

(c)   When would it be better go with the regular price and when would it be better to go with the group special? Explain how you know this.

‚Äč

 
hoiuu  Nov 9, 2018
 #1
avatar+2729 
0

\(c_{reg}(n) = 40n \\ c_{special}(n) = 150 + 25n\)

 

a)   \(c_{reg}(n) = c_{special}(n)\\ 40n=150+25n\\ 15n=150\\ n=10\)

 

b) you can do this

 

c) use the special for 10 people or greater.  See part (a)

 
Rom  Nov 9, 2018
 #2
avatar+383 
0

so for b i got $240 for the regular price and for the group special $300...

 

Is this right? 

 
hoiuu  Nov 9, 2018
 #3
avatar+2729 
+1

I have nothing but confidence in your ability to do simple arithmetic.

 
Rom  Nov 9, 2018
 #4
avatar+383 
0

lol...

 
hoiuu  Nov 10, 2018

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