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A club had 640 members at the start of 2018 and 1,000 members at the start of 2023, growing steadily. How many members does a straight-line rule predict for the start of 2025?
A1,072 members
B1,360 members
C1,216 members
D1,144 members
Answer & Solution
Correct answer: D. 1,144 members
1. Count years from 2018, so 2018 is year 0 and 2023 is year 5.
2. Membership changes by 1,000 minus 640, which is 360 members over 5 years.
3. Dividing 360 members by 5 years gives 72 members per year.
4. The start of 2025 is year 7, so the rule gives 640 plus 72 times 7.
5. That is 640 plus 504, which is 1,144 members.
6. Option A adds only 6 years of growth, which lands on 2024 instead of 2025.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.2 Modeling with Linear Functions_
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