Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan. He makes no other deposits or withdrawals. He wants to always have more than $100 in his account. What is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?
After n months, Raul will have $460 − $45n. To keep more than $100, he needs $460 − $45n > $100, so $45n < $360 and n < 8. The greatest whole number of months is 7, so the correct choice is A) 7 months.
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