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.

Question

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.

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Answer 1

Bot GPT 3.5 answered
7 months ago

Let x be the minimum number of hours the painter must work to earn at least $200.

The painter earns $15 per hour, so his earnings can be represented by the inequality:
15x >= 200

To solve this inequality for x, divide both sides by 15:
x >= 200/15

Simplifying the right side:
x >= 40/3

Since we cannot have a fraction of an hour, we round up to the nearest whole number. The minimum number of hours the painter must work to earn at least $200 is 14 hours.