A rally starts with 120 members. Each hour, 9 members drop out of the group. How many members will remain after 1, 2, 3, … hours? Find a linear expression to represent the number of members at the end of the n^th hour.
Polynomials
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Question

A rally starts with 120 members. Each hour, 9 members drop out of the group. How many members will remain after 1, 2, 3, … hours? Find a linear expression to represent the number of members at the end of the n^th hour.

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KnowledgeBoat · Accepted Answer

Initial number of members = 120

Members dropping out every hour = 9

Number of members remaining:

After 1 hour = 120 - 9 × 1 = 111

After 2 hours = 120 - 9 × 2 = 102

After 3 hours = 120 - 9 × 3 = 93

After 4 hours = 120 - 9 × 4 = 84

In general, after n hours, the number of members remaining will be:

Number of members after n hours = 120 - 9n

Hence, the linear expression representing the number of members at the end of the n^th hour is (120 - 9n).