A jeepney ride costs P8.00 for the first 4 km and each additional integer km adds P 1.50 to the fare. Use a piecewise function to represent the jeepney fare in term of the distance d in km.
8 + 1.5*ceil(x)
for x km above 4.
where ceil(x) (ceiling function) is the least integer greater than or equal to x.
f(x)=
use a piece function to represent the jeepney fare in terms of disrtance
To represent the jeepney fare in terms of the distance, we can use a piecewise function. Let's break it down into two parts:
First, for the first 4 km, the fare is P8.00. So, for 0 <= d <= 4, the fare is constant at P8.00.
Second, for each additional integer km beyond the first 4 km, the fare increases by P1.50. So, for d > 4, the fare can be expressed as 8.00 + (d - 4) * 1.50.
Combining these two parts, the piecewise function representing the jeepney fare in terms of the distance d would be:
f(d) =
8.00 for 0 <= d <= 4,
8.00 + (d - 4) * 1.50 for d > 4.