AlgebraEasy–MediumInterpreting the constant term of a linear model
Algebra practice question
A club's membership m months after it opened is modelled by N(m) = 320 + 45m. What is the best interpretation of the number 320 in this context?
- A. The club had 320 members when it opened.Correct
- B. The club gains 320 members each month.
- C. The club will have 320 members after 45 months.
- D. The club's membership is capped at 320.
Answer: A. The club had 320 members when it opened.
At m = 0, N(0) = 320: the membership at opening. The 45 is the monthly gain.
Why the other answers are wrong
- B. The club gains 320 members each month.
- The monthly gain is 45, the coefficient of m.
- C. The club will have 320 members after 45 months.
- N(45) = 320 + 45(45), far more than 320.
- D. The club's membership is capped at 320.
- The model has no cap; it grows without bound.
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