The correct inequality is A. 1000-100w≥500;w≥5
If we subtract the number of marbles given away each week (100w) from the original number of marbles (1000), the result should be greater than or equal to 500 in order for Jake to have a minimum of 500 marbles left.
To find the solution, we can solve the inequality:
1000 - 100w ≥ 500
Subtracting 1000 from both sides of the inequality:
-100w ≥ -500
Dividing both sides by -100 (and flipping the inequality sign):
w ≤ 5
Therefore, the solution is w ≥ 5, meaning Jake can continue giving away marbles for a minimum of 5 weeks.
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
A.1000-100w≥500;w≥5
B.1000-100w≥500;w≤5
C.1000-100w≤500;w≥6
D.1000+100w≥500;w≥6
1 answer
1 answer