The SSG organization plans to sell cupcakes to raise a fund.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. Write a function that models this situation how to answer this situation help me
Answers
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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