Question 23 of 49intermediate🔧 ApplyNumerical2 marks

What is the cost for travelling 15 km? For how many kilometres will the cost of the journey be ₹700?

Correct Answer

(i) ₹1000

(ii) 10 km

Exercise: Think and Reflect | Q: 1 | (Page 10)
For More Understanding

Explanation

The cost of the journey is modeled by the linear function C(d) = 100 + 60d, where C is the total cost in rupees and d is the distance in km. For the first part, we substitute d = 15 into the function to find the cost. For the second part, we set the cost function C(d) = 700 and solve algebraically for the distance d.

Solution Steps

  1. Step 1: Identify the given linear function for the cost of the journey: C(d) = 100 + 60d.

  2. Step 2: Calculate the cost for travelling 15 km by substituting d = 15: C(15) = 100 + 60(15) = 100 + 900 = 1000. Thus, the cost is ₹1000.

  3. Step 3: Find the distance for a cost of ₹700 by setting C(d) = 700: 700 = 100 + 60d.

  4. Step 4: Solve for d: 700 - 100 = 60d, which gives 600 = 60d. Dividing by 60, we get d = 10. Thus, the journey will be for 10 km.

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