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a certain chololate bar costs 35 pesos per pieces. however, if you buy more than 10 pieces, they will be marked down to a prices of 32 pesos per piece. use a piecewise function to represent the cost in terms of the number of chocolate bars bought.​

Respuesta :

BigBrainBigMuscle

Answer:

x = number of bar of chocolate

f(x) = 35x     0 < x ≤ 10

f(x) = 32x     x > 10

How to use the piecewise function?

If x = 9  ⇒   Use the first function because 9 is ≤ 10

f(x) = 35x

f(9) = 35(9) = P 315.00

If x = 17  ⇒  Use teh second function because 17 > 10

f(x) = 32x

f(17) = 32 (17) = P 544.00

fichoh

The piecewise function representing the cost, C of n chocolate bars for different values of n is [tex] c(n) \binom{35n ;\: n \leqslant 10}{32n; \: n> 10} [/tex]

Let:

  • Number of pieces of chocolate bar = n

Cost of chocolate bar :

  • Price per piece × number of pieces purchased

If n ≤ 10:

  • Cost price = 35 × n
  • Cost price = 35n

When n > 10 ;

  • Cost price = 32 × n
  • Cost price = 32n

Therefore, the piecewise function representing the cost of chocolate bars is :

[tex] c(n) \binom{35n ;\: n \leqslant 10}{32n; \: n> 10} [/tex]

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