Question

Write in lucena coast of 9 pesos for the first 4 kilometers in each additional km adds 0.75 pesos to the fair use a piecewise function to represent the jeepney rate in terms of the distance in kilometers​

Answer 1

The required piecewise function is: for a distance of 0 to 4 kilometers, the cost is 9 pesos; for each kilometer beyond 4, add 0.75 pesos to the fare.

Step-by-step explanation:

The student is asking for a piecewise function to represent the jeepney rate in terms of the distance in kilometers. The fare is 9 pesos for the first 4 kilometers and then adds 0.75 pesos for each additional kilometer.

The piecewise function for this scenario would look like this:

f(x) =
{

• 
  
• 9, for 0 ≤ x ≤ 4
• 
  
• 9 + 0.75(x - 4), for x > 4
• 
  

}

Here, x represents the total kilometers traveled. For the first 4 kilometers, the cost is a flat rate of 9 pesos. Beyond 4 kilometers, the cost increases by 0.75 pesos for each kilometer beyond the initial 4.