1. A painter earns $15 an hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve it. I THINK:
So you know he earns $15 an hour so we can write that 15h, h = # of hours worked
We also know that he must earn AT LEAST $200, so putting all this together we form the inequality (=< means less than or equal to): 15h =< 200
so now we need to solve for h (number of hours worked):
3 p.m. =< 200
(divide both sides by 15)
h =< 13 1/3
Thus, the painter must work a minimum of 13 1/3 hours to earn at least $200. Didn’t want to win at least $200?
So it should be
3 p.m. ≥ 200
h ≥ 40/3 , no less than what you had
However, your conclusion that the painter must work a minimum of 13 1/3 hours to earn at least $200 is correct. Correct. Wow the first answer really helped me thanks 😊 man this is just theoretical thanks i did it myself but i want people to understand this is what my teacher said the answer
“Close! Consider the words “number of hours he must work to earn at least $200″ to write the inequality. 15h ≥ 200” = 13 1/3 The actual answer is 14 hours. The question asks “What is the MINIMUM number of HOURS?”. If 13.333 were rounded to 13 and 13 times 15 does not equal 200. So you need to round up, 14 times 15 will give you a minimum of $200. And yes that is correct.
Also, 1:33 p.m. is not correct because 1/3 of an hour is not a full hour. Don’t worry, even Brainly was wrong. Um it says $15 per HOUR, if he works 1/3 of an hour he wouldn’t get anything??? So it’s wrong