A group of UST-SHS students plans to sell cupcakes to raise funds for the victims of calamities. A bakery charges them 15.00php per cupcake for the first 100 cupcakes. After the first 100 cupcakes they purchase up to 150 cupcakes, the bakery will lower the price to 13.50 php per cupcake. After they purchase 150 cupcakes, the price will decrease to 10.00 php per cupcake. Which of the following models best represents the price P given the number of cupcakes sold x? 15 if 0 150 Ⓡ D 15x if 0 150 15x P(x) = 13.50x 10x P(x)= if 0 150 15x 13.50x - 15(x - 100) 13.50x 10(x 150) if 0 150

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 4
A group of UST-SHS students plans to sell cupcakes to raise funds for the victims of calamities. A bakery charges them 15.00php per
cupcake for the first 100 cupcakes. After the first 100 cupcakes they purchase up to 150 cupcakes, the bakery will lower the price to
13.50 php per cupcake. After they purchase 150 cupcakes, the price will decrease to 10.00 php per cupcake. Which of the following
models best represents the price P given the number of cupcakes sold x?
15
(A) P(x) = 13.50
10
B
15x
ⒸP(x) = 13.50x
10x
D
15x
if 0<x< 100
P(x)= 13.50x if 100<x< 150
10x
if
x > 150
if 0<x< 100
if 100<x< 150
if
x > 150
15x
if 0<x< 100
if 100<x< 150
if
x> 150
P(x) = 13.50x15(x-100)
if
0<x< 100
if 100<x< 150
x > 150
13.50x 10(x-150) if
Transcribed Image Text:Question 4 A group of UST-SHS students plans to sell cupcakes to raise funds for the victims of calamities. A bakery charges them 15.00php per cupcake for the first 100 cupcakes. After the first 100 cupcakes they purchase up to 150 cupcakes, the bakery will lower the price to 13.50 php per cupcake. After they purchase 150 cupcakes, the price will decrease to 10.00 php per cupcake. Which of the following models best represents the price P given the number of cupcakes sold x? 15 (A) P(x) = 13.50 10 B 15x ⒸP(x) = 13.50x 10x D 15x if 0<x< 100 P(x)= 13.50x if 100<x< 150 10x if x > 150 if 0<x< 100 if 100<x< 150 if x > 150 15x if 0<x< 100 if 100<x< 150 if x> 150 P(x) = 13.50x15(x-100) if 0<x< 100 if 100<x< 150 x > 150 13.50x 10(x-150) if
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