The equation (300 - 30x = 0) represents Hasan's savings decreasing by $30 each week. Solving for (x) gives (x = 10). Therefore, it will take 10 weeks for Hasan to have no money left in his savings account.
The equation representing Hasan's savings is:
![\[ \text{Amount} = 300 - 30x \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/k2yl2dekxlldrsgpflsx2nuohvnxaobxjz.png)
To find out when Hasan's savings will reach $0, set the equation equal to $0:
![\[ 300 - 30x = 0 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/yhygjkayrbru0s7ue2z38h7lsi74tvwt6a.png)
solve for ( x ):
Isolate the term with ( x ) by moving 300 to the other side of the equation:
[ 300 - 300 - 30x = 0 - 300 ]
[ -30x = -300 ]
Divide both sides by -30 to solve for ( x ):
![\[ (-30x)/(-30) = (-300)/(-30) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/awp9zqu1vy7h11pysp88b1jo75ibji5kp9.png)
![\[ x = (300)/(30) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/c9887p6x3mqn8idiimrpwmcqbxrnpvvdvz.png)
![\[ x = 10 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/xuv6af08hwjipura7fj7etin4gytkmnp27.png)
Therefore,
. It means that after
weeks, Hasan's savings will reach $0 based on this equation.
complete the question
Hasan has $300 in his savings account. Each week, he withdraws $30 from his account without replenishing it. The following table represents the amount of money in Hasan’s savings after x weeks.
| Weeks | Amount in Hasan's savings account |
| 0 | $300 |
| 1 | $270 |
| 2 | $240 |
| 3 | $210 |
| 4 | $180 |
| 5 | $150 |
| 6 | $120 |
| 7 | $90 |
| 8 | $60 |
| 9 | $30 |
| 10 | $0 |
Write an equation to model the data in the table and predict how many weeks it will take for Hasan to have no money left in his savings account.