Assignment #1: Modeling with Functions – "Mathelicious". A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: | Number of Bottles sold in the 1. Determine a mathematical function model Time that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to indicated time period 159 the model. 12:15 12:30 12:45 322 485 Function model #1 1:00 1:15 648 Domain: 811 1:30 837 Function model #2 1:45 847 841 819 730 2:00 Domain: 2:15 2:30 Function model #3 (if needed). 2:45 584 3:00 3:15 3:30 3:44 Domain: 468 Domain: 375 300 266 Function model #4 (if needed). 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.
Assignment #1: Modeling with Functions – "Mathelicious". A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: | Number of Bottles sold in the 1. Determine a mathematical function model Time that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to indicated time period 159 the model. 12:15 12:30 12:45 322 485 Function model #1 1:00 1:15 648 Domain: 811 1:30 837 Function model #2 1:45 847 841 819 730 2:00 Domain: 2:15 2:30 Function model #3 (if needed). 2:45 584 3:00 3:15 3:30 3:44 Domain: 468 Domain: 375 300 266 Function model #4 (if needed). 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.
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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Please help me answer the questions in the attachment. When it asks to use more than one type of function it means to use linear, cubic, quadratic, etc.

Transcribed Image Text:Assignment #1: Modeling with Functions – "Mathelicious"
A booth at a music festival was setup to sell concertgoers a new soft drink
"Mathelicious". The marketing geniuses behind the product wanted to see if
there was a relationship between time spent at the concert and number of
bottles of Mathelicious sold. The concert started at noon. The following
data was collected:
Number of Bottles
sold in the
Time
1. Determine a mathematical function model
indicated time
period
159
that represents this data. It will be necessary to use
more than one type of function. Include the domain
interval over which each type of function applies to
the model.
12:15
12:30
322
Function model #1
12:45
485
1:00
648
Domain:
1:15
811
1:30
837
Function model #2.
1:45
847
2:00
841
Domain:
2:15
819
2:30
2:45
730
Function model #3 (if needed)
584
3:00
468
Domain:
3:15
3:30
375
Function model #4 (if needed)
300
3:44
266
Domain:
2. The makers of Mathelicious want to know when they should have the largest
number of staff and the most stock available during a music festival.
Determine when the sales reach a maximum and the maximum sales if
Mathelicious is sold for $1.25/bottle.
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