You plan to sell cupcakes to raise funds. A bakery charges you ₱15.00 for the first 100 cupcakes. After the first 100 cupcakes you purchase up to 150 cupcakes, the bakery will lower the price to ₱13.50 per cupcake. After you purchase 150 cupcakes, the price will decrease to ₱10 per cupcake. Write a piecewise function that models this situation.

You plan to sell cupcakes to raise funds. A bakery charges you ₱15.00 for the first 100 cupcakes. After the first 100 cupcakes you purchase up to 150 cupcakes, the bakery will lower the price to ₱13.50 per cupcake. After you purchase 150 cupcakes, the price will decrease to ₱10 per cupcake. Write a piecewise function that models this situation.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

You have $100 saved and plan to save $20 each month. Write a rule for the amount saved (in dollars) as a function of the number of months from now. Identify the independent and dependent variables, the domain, and the range. How much will you have saved altogether 12 months from now?
A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that. Which equation(s) describes the total cost y as a function of the hours x? 1. Y = 5x + 2.5(x-2) 2. Y = 5x + 2.5x 3. Y = 5x for 2 hours or less, then Y =10 + 2.5(x-2) for over 2 hours 4. Y = 5x up to 2 hours then Y = 5x + 2.5x for over 2 hours
Alzheimer’s Disease The figure gives the millionsof U.S. citizens age 65 and older with Alzheimer’sdisease from 2000 and projected to 2050. If the number of millions of these U.S. citizens is the functionf 1x2, where x is the year, use the graph to answer thefollowing.a. How many U.S. citizens age 65 and older areexpected to have Alzheimer’s disease in 2020?b. Find ƒ(2030) and explain its meaning.c. In what year do we expect 11 million U.S.citizens age 65 and older to have Alzheimer’sdisease?d. Is this function increasing or decreasing?
Q 9
All plain sandwiches at king’s sandwiches cost $4.75. If a customer wishes to add toppings to the sandwich, they pay an extra $0.50 per topping. Write a function (equation) describing the cost of a sandwich
A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.
8. Harper's family rented a car for their cross-country vacation. They paid $77 each day for the car, plus $33.50 in fees. Write an equation in slope-intercept form to represent this linear function. Harper's family spent a total of $726.50 on the car rental. How many days did they rent the car? sheets, games, lessons & more at education.com/resources © 2007-2021E
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?
The monthly payment p on a mortgage varies directly with the amount borrowed b. Suppose that you decide to borrow $190,000 using a 30-year mortgage at 4% interest. You are told that your monthly payment is $907.09. Write a linear function that relates the monthly payment p to the amount borrowed b for a mortgage with the same terms.
A manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part monthly. The company sells each electronic part for $26 per item. Write a function that models the total profit
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?
The cost of renting a canoe is $20 for the first 4 hours and $4 per hour for additional hours. Write a piecewise function that represents the cost of renting a canoe for 0 to 8 hours.