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.

It's your turn now. How do you think this problem should be solved?

Well I know it's 200>=

Let h = number of hours worked.

So is the inequality 200>=15h?

Ms. Sue are you there?????

Yes, you're right.

To determine the minimum number of hours the painter must work to earn at least $200, we can set up an inequality.

Let's assume the number of hours worked is represented by 'h'.

The amount earned in 'h' hours can be calculated by multiplying the hourly rate of $15 by the number of hours worked:

Amount earned = $15 * h

The given condition is that the painter wants to earn at least $200. Therefore, we can set up an inequality to represent the situation:

Amount earned ≥ $200

Substituting the expression for the amount earned, the inequality becomes:

$15 * h ≥ $200

To solve for 'h', we need to isolate the variable on one side of the inequality.

Dividing both sides of the inequality by $15 gives:

h ≥ $200 / $15

Simplifying the right side gives:

h ≥ 13.33

However, since 'h' represents the number of hours, it cannot be a fraction or a decimal. 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.