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.

Question

Which inequality should be used to determine the number of weeks (w) Jake can continue giving away marbles?

(1 point)

Answer 1

To determine the number of weeks (w) Jake can continue giving away marbles while ensuring he has at least 500 marbles left, we can set up the inequality based on the information provided.

Jake starts with 1,000 marbles and gives away 100 marbles each week. After w weeks, the number of marbles he has left can be expressed as:

\[ 1000 - 100w \]

We want to ensure that he has at least 500 marbles left, which gives us the inequality:

\[ 1000 - 100w \geq 500 \]

This is the inequality you can use to determine the number of weeks (w) Jake can continue giving away marbles.