Question

The cost $C of transporting goods is directly proportional to the distance covered , d km . The
cost of transporting goods over a distance of 60 km is $100. / 4 marks
i. Find an equation C and d
ii. Find the cost of transporting goods over a distance of 45 km.
iii. If the cost of transporting goods is $120, calculate the distance covered.

Answer 1

Answer:

Here, C ∝ d

(i) Equation -

100d - 60C = 0

(ii) Putting d = 45 in the equation,

100(45) - 60C = 0

or, 60C = 4500

or, C = $\frac{4500}{60}$ = $75

(iii) Putting C = $120 in the equation,

100d - 60(120) = 0

or, 100d = 7200

or, d = 72Km