Question

The total cost of airfare on a given route is comprised of the base cost C and the fuel surcharge S in rupee. Both C and S are functions of the mileage m; C(m) = 0.4 m + 50 and S(m) = 0.03 m. Determine a function for the total cost of a ticket in terms of the mileage and find the airfare for flying 1600 miles

Answer 1

C – base cost,

S = fuel surcharge,

m = mileage

C(m) = 0.4 m + 50

S(m) = 0.03 m

Total cost = C(m) + S(m)

= 0.4 m + 50 + 0.03 m

= 0.43 m + 50

For 1600 miles

T(c) = 0.43 (1600) + 50

= 688 + 50

= ₹ 738