In New York, a welfare recipient can earn $90 per month without having her benefits reduced. Beyond $90, benefits are reduced by 57 cents for every dollar of earnings. Consider Jackie, a resident of New York, who can earn $10 per hour. If she does not work at all, she is eligible for welfare benefits of $577.
(A) If she works 10 hours, how much are her work earnings, how much is her welfare benefits,
and how much is her total income?
(B) After Jackie works a certain number of hours, she does not receive any benefits at all.
What is that number of hours?
(A) If Jackie works 10 hours at $10 per hour, she will have earned $100 from working. She
gets to earn $90 before her benefits are reduced. She earned $10 over that limit, so her
benefits will be reduced to 577 - (0.57 * 10) = 571.3. She will have received in total $671.3.
(B) She would need to work 110.228 hours before benefits are completely eliminated.
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