Question 40 of 49intermediate🔧 ApplyNumerical3 marks

Sarita is reading a book of 500 pages. She reads 20 pages every day. How many pages will be left after 15 days? Express this as a linear pattern.

Correct Answer

200 pages; Linear pattern: 500 - 20n

Exercise: Exercise Set 2.3 | Q: 5 | (Chapter: 9)
For More Understanding

Explanation

This problem models a situation of linear decay, similar to Example 7 in the context where Bela's remaining pocket money decreases by a constant amount each day. Sarita starts with 500 pages and reads 20 pages daily, meaning the pages left decrease by a constant rate of 20. Since the difference between consecutive terms is constant, it forms a linear pattern. The expression is derived by subtracting the total pages read (20n) from the initial total (500).

Solution Steps

  1. Step 1: Calculate pages read in 15 days: 15 days × 20 pages/day = 300 pages

  2. Step 2: Calculate pages left after 15 days: 500 total pages - 300 pages read = 200 pages

  3. Step 3: Express as a linear pattern for n days: Initial pages - (Pages read per day × Number of days) = 500 - 20n

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