A jeepney ride costs 8 pesos for the first 4 km and each additional integer km add 1.50 pesos to the fare. Use a piecewise function to represent the jeepney fare in terms of the distance (d) in km.
Please give the solution. Thank you
2nd piece:
f(d) = 8.00 + 1.50⌈d-4⌉ for d>4
Now you should be able to provide the other piece.
Xandria rides through a jeepney which charges 8 pesos for the first 4 kilometers and additional 0.50 pesos foe each additional kilometer. Express. The jeepney fare (F) as function of the number of kilomeers (d) that xandria pays aride
To represent the jeepney fare as a piecewise function, we need to consider two scenarios:
1. For the first 4 km, the fare is a fixed rate of 8 pesos.
2. For distances beyond 4 km, the fare increases by 1.50 pesos for every additional integer km.
Let's break it down step by step:
Step 1: Define the fare for distances less than or equal to 4 km.
For d ≤ 4, the fare is a fixed rate of 8 pesos. We can write this as:
f(d) = 8 for 0 ≤ d ≤ 4
Step 2: Define the fare for distances greater than 4 km.
For d > 4, the fare increases by 1.50 pesos for every additional integer km.
The fare for the additional km beyond 4 can be represented by (d - 4) * 1.50.
Since the fare increases by an additional 1.50 pesos for each additional integer km, we need to round up the value of (d - 4) to the nearest higher integer to get the total increase.
We can write this as:
f(d) = 8 + ceil(d - 4) * 1.50 for d > 4
So, the piecewise function that represents the jeepney fare in terms of the distance (d) in km is:
f(d) =
8 for 0 ≤ d ≤ 4
8 + ceil(d - 4) * 1.50 for d > 4
Note: In this function, ceil(x) represents the ceiling function, which rounds the value of x up to the nearest higher integer.
how to get 4
xandria rides through a jeepney which charge 8 for the 4 first kilometers. and additional 0.50 for each additional kilometers. express the jeepney fare (f) as function of the number of kilometers (d) that xandria pays for the rides.
A jeepney ride costs 8 pesos for the first 4 km and each additional integer km add 1.50 pesos to the fare. Use a piecewise function to represent the jeepney fare in terms of the distance (d) in km.
Please give the solution.