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

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

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

A similar problem is given at link

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.

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