A retraining grant of £3,150 is drawn down at £225 a week and is used up after 14 weeks. Which range of weeks is sensible to use with this rule?

1. Weeks before the grant arrives do not exist for this rule, so negative numbers of weeks make no sense. 2. The grant is gone after 14 weeks, so beyond that point the rule would give a negative amount of money left. 3. Nobody holds a negative grant, so the rule stops describing the situation there. 4. That leaves 0 weeks up to 14 weeks as the sensible range. 5. Option D allows negative weeks, which have no meaning here. 6. Option B starts exactly where the rule stops working, so it covers only the part that is untrue. 7. Option C allows every week ever, which keeps both of those faults at once. _Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.2 Modeling with Linear Functions_