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)
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.
First, we need to set up an inequality to represent the situation. The painter earns $15 per hour, so we can say that the total amount he earns in a certain number of hours, h, must be greater than or equal to $200.
The inequality to represent this situation is: 15h >= 200.
To solve this inequality, we need to isolate the variable, h.
Divide both sides of the inequality by 15:
15h/15 >= 200/15.
Simplify:
h >= 40/3.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 40/3 hours.
To solve this problem, we need to set up an inequality that represents the situation and then solve it.
Let's denote the minimum number of hours the painter must work as "x".
The painter earns $15 per hour, so his earnings can be represented as 15x.
We want to find the minimum number of hours the painter must work to earn at least $200. This can be represented as "15x >= 200".
Now, we will solve this inequality to find the minimum value of x.
To do that, we can divide both sides of the inequality by 15:
(15x)/15 >= 200/15
x >= 40/3
So, the minimum number of hours the painter must work to earn at least $200 is 40/3, which is equal to 13 hours and 20 minutes.
Therefore, the inequality that represents this situation is x >= 40/3.