0100 < 10h + 5The inequality is 100 less than or equal to 10*h + 5 because Beatrice has to make at least $100. The variable h=hours. You can make the variable x=hours. Because she receives an automatic $5 tip, that is added to the 10h. It is not 15h because the tip is not hourly, it is added on top of the total money she earns hourly. Isolate the variable100 < 10h +5-5 -5 subtract 5 from both sides95 < 10h divide 10 from both sides to get h by itself9.5 < h Beatrice needs to work at least 9.5 hours to make $100 dollarsBecause she does not charge for partial hours, she needs to work at least 10 hours to make $100. We round 9.5 up to 10. We cannot round down to 9 because she would only make $95 at 9 hours.The answer is 10 hours :)
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