Katie's volleyball team is raising funds to purchase personalized team duffle bags for each member on the team. The goal is to raise at least $500. They have currently raised $136 towards their goal. Team members are asked to write and solve an inequality to show how much money is still needed in order to reach their goal.
The members of the team have written the following inequalities and solutions.
1. x - 136 > 500; x > 364
The team still needs to raise more than $364.
2. x + 136 > 500; x > 636
The team still needs to raise more than $636.
3. x + 136 > 500; x > 364
The team still needs to raise more than $364.
4. x -136 > 500; x > 636
The team still needs to raise more than $636.
Which team members answered incorrectly? Why are they wrong?
Team members 2 and 4 answered incorrectly. They both incorrectly added $136 to the amount needed to reach the goal, instead of subtracting it. Therefore, their solutions should have been:
2. x - 136 > 500; x > 364
4. x -136 > 500; x > 636
So, the correct responses should be:
1. x - 136 > 500; x > 364
3. x + 136 > 500; x > 364