An art professor wishes to take his class on a trip to the Art Institute of Chicago. The Art Institute has several different pricing options for groups: •$ 25 per person for group sizes up to 14 people (this is the standard individual rate): •$ 22 per person for group sizes from 15 to 25 people; • $ 16 per person for group sizes of 26 people or more. For groups of at least 15 people, the group must also book their tickets ahead of time, and pay a flat reservation fee of $ 10. For groups of size 14 people or fewer, there is no reservation fee. a) Fill in the missing values of the table showing the cost of admittance, C(n) for a group ofn people, for n from 0 to 30, in increments of 5 people. 10 15 20 25 30 C(n) b) Write a piecewise function for C(n). for 0

An art professor wishes to take his class on a trip to the Art Institute of Chicago. The Art Institute has several different pricing options for groups: •$ 25 per person for group sizes up to 14 people (this is the standard individual rate): •$ 22 per person for group sizes from 15 to 25 people; • $ 16 per person for group sizes of 26 people or more. For groups of at least 15 people, the group must also book their tickets ahead of time, and pay a flat reservation fee of $ 10. For groups of size 14 people or fewer, there is no reservation fee. a) Fill in the missing values of the table showing the cost of admittance, C(n) for a group ofn people, for n from 0 to 30, in increments of 5 people. 10 15 20 25 30 C(n) b) Write a piecewise function for C(n). for 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

professor wishes to take his class on a trip to the Art Institute of Chicago. The Art Institute has several different pricing options for
• $ 25 per person for group sizes up to 14 people (this is the standard individual rate);
· $ 22 per person for group sizes from 15 to 25 people;
• $ 16 per person for group sizes of 26 people or more.
For groups of at least 15 people, the group must also book their tickets ahead of time, and pay a flat reservation fee of $ 10. For groups of size 14 people or fewer, there is no reservation
An art
groups:
fee.
a) Fill in the missing values of the table showing the cost of admittance, C(n) for a group of n people, for n from 0 to 30, in increments of 5 people.
n
10
15
20
25
30
C(n)
b) Write a piecewise function for C(n).
for
0 <n <
C(n) =
for
<n<
for
<n
c) How much will it cost to buy tickets for the professor plus 19 students?
dollars
d) If the professor's budget is $ 225, how many students can he take (that is, how many people in addition to himself)?
students

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