Mathematics 30 June 1999 Grade 12 Diploma Exam

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Use the following information to answer the next question. A sports store is planning a sales promotion of mountain bikes. Each day that a bike remains unsold, the price will be discounted by 2% of the previous day’s price. The table below gives the successive daily prices of a mountain bike with an original price of $1 224.49. Day Bike Price 1 $1 200.00 2 $1 176.00 3 $1 152.48 4 $1 <strong>12</strong>9.43 5 $1 106.84 Written Response—10% 1. Successive daily prices of the mountain bike can be approximated by using the recursive formula t 1 = $1 200.00 and t n + 1 = 0.98t n . • Determine the price of the mountain bike on day 8 of this sales promotion. 26
• Write an expression for t n as a function of n, n ∈ N. • The store will lose money on the mountain bike if its price falls below $600. On which day of the promotion will this occur? Written-response question 2 begins on the next page. 27
Page 1 and 2: athematics 30 Mathematics 30 Mathem
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Page 21 and 22: 25. The foci of a hyperbola are F 1
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Page 43 and 44: SAMPLE ANSWERS TO THE WRITTEN-RESPO
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Page 49 and 50: A POSSIBLE SOLUTION Student A Stude

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