Question

Instructions: Read each problem below carefully. Solve and construct mathematical

models in each of the given piecewise function problems.

1. The cost of hiring a catering service to serve food for a party is ₱150 per head for 20

persons or less, ₱130 per head for 21 to 50 persons, and ₱110 per head for 51 to

100 persons. For more than 100 persons, the cost is at ₱100 per head. Represent the

total cost as a piecewise function of the number of attendees of the party.

2. 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 ₱10.00 per cupcake. Write a function that models this

situation.

3. A cellphone plan costs Php 1500 a month. The plan includes 200 free minutes

and charges of Php 5 for each additional minute of usage. Find the monthly cost

incurred if the owner used (a)150, (b)200, and (c)220 minutes.

4. A hotel has a special promo for their non-airconditioned room (good for two

people). It charges Php 1500 for a maximum stay of two nights and Php 500 for each

additional night’s stay. The total cost is a function of the number of nights x that a​

Answer 1

Answer:

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