SOLUTION: Mrs. Chan 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

Question 1060353: Mrs. Chan 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 cost $25 per person with an additional $150 fee for a private room. Mrs. Chan is is trying to decide if she should use the regular price or the group special.
(A) write an equation to show the total cost of the regular price with X people
(B) Write and equation to show the total cost of the group special with X people
(C) Graph the equations
(D) when what the two admission prices be the same
(E) how much would it cost to bring six people on the field trip for the regular price, and how much for the group special ?
(F) when would it be better to go with the regular price and when would it be better to go with the group special? Explain how you know this
(G) The director of the camp told Mrs. Chan that she can have a budget of $300 to bring as many campers that she can what Deal should mrs.chan Go with and what is the maximum number of people she can bring with $300? Support your answer by showing how many people can go with each deal.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let x represent the number of people
:
A) Regular Cost = 40x
:
B) Group Cost = 25x + 150
:
C) equation graph A is the red line, B is the green line
x axis(each tick mark is one person), y axis(each tick mark is $100)

:
D) The admission prices are the same when there are 10
people and the cost is $400
:
E) 6 people, regular price = 40 * 6 = $240
6 people, group price = (25 * 6) + 150 = $300
:
F) We look at the graph of the two cost functions
The regular cost function is cheaper when we have less than 10 people
The group cost is cheaper when we have more than 10 people
:
G) we solve each cost function for x when the cost is $300
40x = 300
:
x = 7.5 people
:
25x + 150 = 300
25x = 150
x = 6
:
regular price allows us to bring 7 people, one person more than group price
:

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