Term 1 · Weeks 9–10 · Functions and Their Graphs

Challenge problem · non-routine

Challenge Non-routine

A driver pays a ₱900 daily 'boundary' to the operator and ₱1,240 for fuel. If the average fare collected is ₱15 per passenger, how many passengers are needed just to cover these costs? Round up.

Show step-by-step solution

Answer: 143 passengers

Daily costs: $900 + 1{,}240 = 2{,}140$ .
Passengers needed: $2{,}140 \div 15 = 142.67$ .
Round up: 143 passengers before the driver earns anything.
Income is the linear function $I(n) = 15n - 2140$ .

Common errors to watch for

Rounding down to 142 leaves ₱10 of cost unpaid.

Budget of Work competencies

gm11.t1.w10.c2
Apply the functions to model and solve real-life problems.