Jachin is saving to buy a new tablet that costs more than $400. He already has $85 in his piggy bank, and he is able to put $25 in his bank once a week when he gets paid for mowing lawns.
The inequality that represents this situation is 25w + 85 > 400 where w represents the number of weeks
Jachin makes a deposit into his piggy bank.
What does the solution for the inequality mean in relation to this situation?
• The solution is w > 12.6. It will take Jachin a minimum of 13 weeks to save enough money to buy the tablet.
• The solution is w > 19.4. It will take Jachin no more than 20 weeks to save enough money to buy the tablet.
• The solution is w > 12.6. It will take Jachin no more than 13 weeks to save enough money to buy the tablet.
• The solution is w > 19.4. It will take Jachin a minimum of 20 weeks to save enough money to buy the tablet.
The solution for the inequality is w > 12.6. This means that it will take Jachin a minimum of 13 weeks to save enough money to buy the tablet.
The correct answer is:
• The solution is w > 12.6. It will take Jachin a minimum of 13 weeks to save enough money to buy the tablet.
The inequality 25w + 85 > 400 represents the amount of money Jachin has saved (25w) plus the money in his piggy bank ($85) being greater than the cost of the tablet ($400). Solving this inequality by isolating the variable gives us w > 12.6, which means that Jachin needs to save for at least 13 weeks in order to have enough money to buy the tablet.
To solve the inequality 25w + 85 > 400, you need to isolate the variable w.
First, subtract 85 from both sides of the inequality:
25w > 400 - 85
25w > 315
Then, divide both sides of the inequality by 25 to solve for w:
w > 315/25
w > 12.6
The solution w > 12.6 means that Jachin needs at least 13 weeks to save enough money to buy the tablet.
Therefore, the correct answer is: The solution is w > 12.6. It will take Jachin a minimum of 13 weeks to save enough money to buy the tablet.