Answer :
Answer: [tex]x \geq 40 - 15[/tex]
Step-by-step explanation:
Here's how we can model the amount you still need to save with an inequality:
Let x represent the amount you still need to save.
- You already saved $15 (represented as a constant value).
- The cost of the new pair of shoes is $40 (represented as another constant value).
Inequality to model how much more to save:
To find how much more you need to save, we need to consider that you need to have at least $40 (shoe price) to buy the shoes. We can represent this with an inequality. Here, we'll use the greater than or equal to sign (>=) because you need to have enough money (at least $40) to buy the shoes.
Therefore, the inequality that models how much more you need to save is:
x >= $40 - $15
Explanation:
- This inequality says that x (the amount you still need to save) must be greater than or equal to the difference between the shoe price ($40) and your current savings ($15).
- In simpler terms, the amount you still need to save (x) needs to be at least enough to cover the remaining cost after subtracting your current savings from the total shoe price.
Example:
If you saved an additional $10 (x = $10), then $10 + $15 = $25, which is greater than or equal to $40 - $15 (the minimum needed). So, $10 would be a valid solution for x.
However, if you only saved an additional $5 (x = $5), then $5 + $15 = $20, which is not enough to buy the shoes.In this case, $5 would not be a solution for x.
In conclusion, the inequality x >= $40 - $15 helps you determine how much more money you need to save to reach your goal of buying the $40 shoes.
