Answer:
w >= 5
Explanation:
Let's start by defining a variable to represent the number of weeks Maggie needs to save up to buy the hoodie. Let's call this variable "w".
We know that Maggie currently has $30 in her bank account, and she will be making weekly deposits of $10. Therefore, after w weeks, she will have saved up:
$30 + $10w
To purchase the hoodie, Maggie needs at least $75 in her bank account. Therefore, we can write the following inequality:
$30 + $10w >= $75
To solve for w, we can start by subtracting $30 from both sides:
$10w >= $45
Next, we can divide both sides by $10:
w >= 4.5
This means that Maggie needs to save up for at least 4.5 weeks to purchase the hoodie. However, since she cannot save for half a week, we can round up to the nearest whole number, which gives us:
w >= 5
Therefore, Maggie needs to save up for at least 5 weeks to purchase the hoodie.
To graph this inequality on a number line, we can draw a closed circle at 5 (since Maggie needs to save for at least 5 weeks), and shade to the right of the circle (since any value of w greater than or equal to 5 will satisfy the inequality).