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) Responses 1000−100w≥500; w≥5 1000−100w≥500; w≥5 1000−100w≥500; w≤5 1000−100w≥500; w≤5 1000−100w≤500; w≥6 1000−100w≤500; w≥6 1000+100w≥500; w≥6

Question

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) Responses 1000−100w≥500; w≥5 1000−100w≥500; w≥5 1000−100w≥500; w≤5 1000−100w≥500; w≤5 1000−100w≤500; w≥6 1000−100w≤500; w≥6 1000+100w≥500; w≥6

Answer 1

The correct inequality is 1000 - 100w ≥ 500; w ≤ 5.

This means that the number of weeks Jake can continue giving away marbles, represented by "w", must be less than or equal to 5.

The solution is w ≤ 5.