4. A Zumba instructor charges according to the number of participants. If there are 15participants or below, the instructor charges P500.00 for each participant per month. If thenumber of participants is between 15 and 30, he charges P400.00 for each participant permonth. If there are 30 or more, he charges P350 for each participant per month. Write apiecewise function that describes what the instructor charges. (Let C be the amount that theinstructor charges and p the number of participants.)

Answered: Image /qna-images/answer/f5ab8588-09a3-44e2-a201-dfb07f7dea8a.jpg

Answered: 4. A Zumba instructor charges according…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Membership at a private arcade club costs a one-time initiation fee of $50 plus $10 per month. Part A: Write a function expressing the total amount of money spent on membership as a function of the number of months. Part B: Identify the independent variable and the dependent variable in this situation. Part C: How much total money has been spent on membership after 12 months?
At Gunterville College, tuition rates for in-state residents were $92 per credit for the first 10 credits, $35 per credit for credits 11-18, and for over 18 credits the rate is $74 per credit. Write a piecewise defined function for the total tuition, T, at Gunterville College as a function of the number of credits taken, c.
In 2000, the value of a home is 150,000.00 dollars. Its value has been increasing 5% per year. If this rate continues indefinitely, write an equation, in function notation, to represent the value of the home as a function of time, t, in years since 2000
Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15. a. Create a function called f whose input is the number of horses you own and whose output is the number of bales of hay eaten per month. Use x as your input variable. b. Create a function called g whose input is the number of bales of hay eaten per month and whose output is the total cost. Use x as your input variable. c. Create a function called / whose input is the number of horses you own and whose output is the total cost. Use x as your input variable. d. If you own 5 horses, use your functions f, g and h to find out how many bales of hay are eaten per month and how much money this will cost. e. Draw a diagram of the three functions f, g, and h. Show the input and output of each function, and their relationship.
The Campus Democrats plan to pay a visitor $500 to speak at a fundraiser. Tickets will be sold for $10 apiece. Find a function that gives the profit (or loss) for the event as it varies with the number of tickets sold. How many people must attend the event for the club to break even?
Use function notation to represent that your annual salary after working five years at your job is $2,000 more than your initial salary.

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