47
QuizMultiple Choice

Topic Test

Question 47 • Applications and Modeling

Great Mountain Ride shop has seen an increase in the number of people that have purchased a new snow board over the last three days. In order to keep up with demand, the manager of the shop has recorded the number of people that have purchased a snow board over a five day period. His data was given in the following table: Day 1 Day 2 Day 3 Day 4 Day 5 % increase of the number of people who bought snow boards 10% 15% 5% 8% 12% Given that the total number of people that purchased a snowboard on day 5 was 250 people, determine how many people purchased snowboards the day before the manager started to collect her data. Round your answer to the nearest person.

Answer
A
155 people
B
156 people
C
160 people
D
161 people

Explanation

Each day’s percentage increase is applied to the number of buyers from the previous day. So the number before Day 1 was 250 ÷ (1.10 × 1.15 × 1.05 × 1.08 × 1.12) ≈ 155.6. Rounded to the nearest person, that is 156 people, matching choice b.

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