Question

The inequality 5d + 65 less than or equal to 180 represents the number of days, d, it will take an organization to meet it's goal of at least 180 volunteer for an event . a volunteer decides to solve the inequality to find out how many days it could take the organization to meet it's goal. The table shows the volunteers work.

1. The volunteer solves the inequality correctly, and it will take the organization at least 575 days to get to at least 180 volunteers.
2. The volunteer solves the inequality correctly, anf it will take the organization at most 575 days to get st least 180 volunteers.
3. the volunteer solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.
4. the volu teer solves the inequality incorrectly and makes a mistake between the Given and Step 1.

Answer 1

3. the volunteer solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

Explanation:

The inequality 5d + 65 ≥ 180 represents the number of days, d, it will take an organization to meet it's goal of at least 180 volunteer for an event.

A volunteer decides to solve the inequality to find out how many days it could take the organization to meet it's goal. The table shows the volunteers work.

3. the volunteer solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

Here, since 5d ≥ 115

⇒ d ≥ 23 {Dividing both sides by 5}

This will be the correct solution. (Answer)