Question
A)
Short Answer
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A painter earns $15 per 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. Show your work.
(2 points)
Short Answer
Note: Your teacher will grade your response to the following question to ensure you receive proper credit for your answers.
If you need to show Greater-than or Equal-to, use ">="
If you need to show Less-than or Equal-to, use "<="
If you need to show Not Equal-to, use "=/"
A painter earns $15 per 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. Show your work.
(2 points)
Answers
GPT 3.5
Let x be the minimum number of hours the painter must work to earn at least $200.
The inequality to represent this situation is:
15x >= 200
To solve for x, divide both sides of the inequality by 15:
x >= 200/15
Simplifying the right side:
x >= 13.33
However, since the painter cannot work a fraction of an hour, we need to round up to the nearest whole number.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.
The inequality to represent this situation is:
15x >= 200
To solve for x, divide both sides of the inequality by 15:
x >= 200/15
Simplifying the right side:
x >= 13.33
However, since the painter cannot work a fraction of an hour, we need to round up to the nearest whole number.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.