Math, asked by SHIKHZCHIKZ1238, 1 year ago

You plan to sell cupcakes to raise funds.a bakery charges you a 15 pesos for the 100 cupcakes.After the first 100 cupcakes you purchase up to 150 cupcakes,the bakery lower the price to 13.50 pesos pe cupcakes.After you purchase 150 cupcakes the price will decrease 10.00 Pesos per cupcake.Write a function that models this situation

Answers

Answered by chbilalakbar
131

Answer:

P(x) = (15)x   when    x < 100 or x = 100

P(x) = 15(100) + (x - 100)13.5   when  100 < x < 150  or x = 150

p(x) = 15(100) + 13.5(50) + (x - 150)10   when  150 < x

Step-by-step explanation:

Let P(x) denote the price function

x denote the quantity of cupcakes

Then

Price function for the given situation in the question is given as piece wise function

P(x) = (15)x   when    x < 100 or x = 100

P(x) = 15(100) + (x - 100)13.5   when  100 < x < 150  or x = 150

p(x) = 15(100) + 13.5(50) + (x - 150)10   when  150 < x

Answered by amitnrw
31

Given :  a bakery charges them P15.00 for the first 100 cupcakes .after the first 100 cupcakes they purchase up to 150 cupcakes the bakery reduce the price to P13.50 per cupcake.after they purchased 150 cupckaes,the price lower to P10.00 per cupcakes.

To Find : Write a function that models this situation

Solution:

x = number  of Cup cakes

f(x) = Charges

P15.00 for the first 100 cupcakes

f(x) =  15x      0 < x  ≤ 100

after the first 100 cupcakes they purchase up to 150 cupcakes the bakery reduce the price to P13.50 per cupcake.

f(x) = 15*100 + (x - 100)13.5  = 13.5x + 150

f(x) = 13.5x + 150   100 < x  ≤ 150

for 150 cups = 2175

After they purchased 150 cupckaes, the price lower to P10.00 per cupcakes.

f(x) = 2175 + (x - 150) 10  = 10x  + 2025

f(x) = 10x  + 2025     150 < x

Piece wise function :

          15x                0 < x  ≤ 100

f(x)      13.5x + 150   100 < x  ≤ 150

          10x  + 2025     150 < x

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