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Mathematics

The cost of a journey is given by the linear function C(d) = 100 + 60d where C indicates total cost in rupees and d the distance travelled in km. What is the cost for travelling 15 km? For how many kilometres will the cost of the journey be ₹700?

Polynomials

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Answer

The cost of the journey is given by the linear function:

C(d) = 100 + 60d

where C is the total cost (in ₹) and d is the distance travelled (in km).

Cost for travelling 15 km:

Substituting d = 15 in C(d) = 100 + 60d:

C(15) = 100 + 60 × 15

⇒ C(15) = 100 + 900

⇒ C(15) = 1000

So, the cost for travelling 15 km is ₹1000.

Distance for which the cost is ₹700:

Substituting C(d) = 700 in C(d) = 100 + 60d:

100 + 60d = 700

⇒ 60d = 700 − 100

⇒ 60d = 600

⇒ d = 60060\dfrac{600}{60}

⇒ d = 10

So, the cost will be ₹700 for a distance of 10 km.

Hence, the cost for travelling 15 km is ₹1000, and the cost of the journey will be ₹700 for a distance of 10 km.

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