Mathematics

Problem

A courier company charges a fixed handling fee together with a charge that is proportional to the mass of the parcel. A 2 kg parcel costs Rs 180, while a 5 kg parcel costs Rs 300. a. (i) Assuming the cost

C

(in rupees) varies linearly with mass

m

(in kilograms), obtain the linear equation connecting

C

and

m

. b. (ii) Interpret the slope and the

y

-intercept of this equation in the given context. c. (iii) Draw the graph of

C

against

m

for

0 \le m \le 8

kg. d. (iv) Using the graph or otherwise, estimate the cost of sending a 7 kg parcel. e. (v) For what mass will the cost be exactly Rs 240? Show the complete calculation.

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