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Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution. (1 point
О 1000 - 100w ≥ 500; w ≥ 5
О 1000 - 100w > 500; w < 5
• 1000 - 100w < 500; w > 6
O 1000 + 100w ≥ 500; w ≥ 6
The correct inequality is:
1000 - 100w ≥ 500; w ≥ 5
This means that the number of marbles Jake has (1000) minus the number of marbles he gives away each week (100w), must be greater than or equal to 500. The solution to this inequality is w ≥ 5, which means Jake can continue giving away marbles for 5 or more weeks while still having at least 500 marbles left.