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a jeepney ride in the sinakos 9 pesos for the first 4 kilometers and each additional km at 0.75 pesos to the fair use a piecewise function to represent the jeepney fare in terms of the distance in kilometers​

Respuesta :

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Answer: f(x) = 9 pesos if  0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if  4km ≤ x

Step-by-step explanation:

Ok, we know that:

For the first 4km, we have a fixed price of 9 pesos.

For any km after the 4km mark, we have an extra of 0.75 pesos.

Then if x is the number of kilometers, we can write this as:

f(x) = 9 pesos if  0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if  4km ≤ x

Where we use (x  - 4km) because we start counting after the 4km mark.

The piece-wise function that models the fare in terms of the distance is:

[tex]F(d) = 9, d \leq 4[/tex]

[tex]F(d) = 9 + 0.75(d - 4), d > 4[/tex]

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  • A piece-wise function is a function defined by parts, that is, a function that has different definitions depending on the input value.
  • For the first 4 kilometres, the fare has a constant price of 9 pesos, thus, the definition of the function is:

[tex]F(d) = 9, d \leq 4[/tex]

  • Each additional kilometre after 4 kilometres is quantified by d - 4, price of 0.75 pesos for each of them, plus the 9 pesos of the first four kilometres, thus, for distances more than 4 kilometres, the definition is:

[tex]F(d) = 9 + 0.75(d - 4), d > 4[/tex]

Combining the two definitions, the piece-wise function is:

[tex]F(d) = 9, d \leq 4[/tex]

[tex]F(d) = 9 + 0.75(d - 4), d > 4[/tex]

A similar problem is given at https://brainly.com/question/21890586

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