AlgebraHardWeeks until a savings goal from a decreasing balance
Algebra practice question
A gift card has $100 on it, and its holder spends $6 from it every week. After how many weeks will the balance first be below $30?
Answer: 12
100 − 6w < 30 gives w > 11.67, so the 12th week.
Common wrong answers
- If you answered 11
- 11 weeks leaves $34, still above $30.
- If you answered 70
- 70 is the amount spent by week 12 minus 2, a slip; the answer is 12 weeks.
- If you answered 16.67
- 16.67 is when the card is empty.
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