Domain considering the scenario: Justin has $10 in his account and plans to save $25 each week until he reaches $135 for the new game he wants to buy.

1 answer

In this scenario, we can create a mathematical representation of Justin's savings plan to determine how many weeks it will take him to reach his goal of $135 for the new game.

Initial Information:

  • Starting Amount: $10
  • Amount Saved Each Week: $25
  • Goal Amount: $135

Steps to Calculate Weeks Needed:

  1. Determine the Amount Justin Needs to Save:
    To find out how much more money Justin needs, we subtract his current amount from his goal: \[ \text{Amount Needed} = \text{Goal Amount} - \text{Starting Amount} \] \[ \text{Amount Needed} = 135 - 10 = 125 \]

  2. Calculate the Number of Weeks Needed:
    Now, we divide the amount Justin needs by the amount he saves each week: \[ \text{Weeks Needed} = \frac{\text{Amount Needed}}{\text{Amount Saved Each Week}} \] \[ \text{Weeks Needed} = \frac{125}{25} = 5 \]

Conclusion:

Justin needs to save for 5 weeks to reach his goal of $135 for the new game. At the end of 5 weeks, he will have saved a total of $125 plus his initial $10, reaching exactly $135.