alleryStart learning →A gym records the total paid against the length of membership. Two months costs £74 and six months costs £158. How much does each extra month add?
A£26 per month
B£24 per month
C£19 per month
D£21 per month
Answer & Solution
Correct answer: D. £21 per month
1. Pair each length with its total: 2 months with £74, and 6 months with £158.
2. The total changes by £158 minus £74, which is £84.
3. The length changes by 6 months minus 2 months, which is 4 months.
4. Dividing £84 by 4 months gives £21 for each extra month.
5. Option A comes from dividing £158 by 6 months, which wrongly treats the joining fee as part of the monthly charge.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.1 Linear Functions_
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