AlgebraMediumMonths after which an upfront plan becomes cheaper
Algebra practice question
One phone plan costs $240 upfront plus $35 per month. A second plan costs $60 per month with nothing upfront. After how many whole months is the total cost of the first plan less than the total cost of the second?
Answer: 10
240 + 35m < 60m → 240 < 25m → m > 9.6. The first whole month is 10.
Common wrong answers
- If you answered 4
- 4 comes from 240 ÷ 60.
- If you answered 9
- After 9 months the first plan still costs more (555 versus 540).
- If you answered 6.86
- 6.86 comes from 240 ÷ 35.
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