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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)
Let x be the number of hours the painter must work.
The amount the painter earns in x hours is given by the equation 15x.
To find the minimum number of hours he must work to earn at least $200, we set up the inequality:
15x >= 200
Now we solve for x:
Divide both sides of the inequality by 15:
x >= 200/15
x >= 13.33
Since the number of hours must be a whole number, the painter must work at least 14 hours to earn at least $200.
To find the minimum number of hours the painter must work to earn at least $200, we can set up an inequality where the painter's earnings will be greater than or equal to $200.
Let x be the minimum number of hours the painter must work.
The painter earns $15 per hour, so the inequality can be written as:
15x >= 200
To solve for x, divide both sides of the inequality by 15:
x >= 200/15
Simplifying the expression, we have:
x >= 40/3
Since the painter cannot work a fraction of an hour, we can round up the value to the nearest whole number.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.
In inequality form, the solution would be:
x >= 40/3 or x >= 14
To answer this question, we need to write an inequality and solve it to find the minimum number of hours the painter must work to earn at least $200.
The painter earns $15 per hour. Let's assume the number of hours he works is represented by the variable 'h'.
Since the painter earns $15 per hour, the amount he earns can be represented by the expression 15h.
We want to find the minimum number of hours he must work to earn at least $200. So, we can set up the following inequality:
15h >= 200
To solve this inequality for 'h', we need to isolate the variable 'h'. We can do this by dividing both sides of the inequality by 15:
(h/15) >= (200/15)
Simplifying this inequality, we get:
h >= 13.33
Since the number of hours worked must be a whole number, we round up to the next whole number to find the minimum number of hours the painter must work.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.