Answer:
- After 2 weeks, Tarik will have $116 saved.
- After 3 weeks, Tarik will have $154 saved.
- After 4 weeks, Tarik will have $192 saved.
- Tarik will have enough money to buy the tablet after 6 weeks.
- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.
Explanation:
To represent the amount of money saved after a certain number of weeks, we can use the expression:
Amount of money saved = $40 + ($38 * number of weeks)
Let's evaluate this expression for 2 weeks, 3 weeks, and 4 weeks:
For 2 weeks:
Amount of money saved = $40 + ($38 * 2)
Amount of money saved = $40 + $76
Amount of money saved = $116
For 3 weeks:
Amount of money saved = $40 + ($38 * 3)
Amount of money saved = $40 + $114
Amount of money saved = $154
For 4 weeks:
Amount of money saved = $40 + ($38 * 4)
Amount of money saved = $40 + $152
Amount of money saved = $192
To determine when Tarik will have enough money to buy the tablet, we need to set up an inequality. Let's represent the cost of the tablet as C:
Amount of money saved >= Cost of the tablet (C)
In this case, the cost of the tablet is $265.49. Therefore, the inequality becomes:
$40 + ($38 * number of weeks) >= $265.49
To solve this inequality, we can subtract $40 from both sides:
$38 * number of weeks >= $265.49 - $40
$38 * number of weeks >= $225.49
Finally, we divide both sides of the inequality by $38 to solve for the number of weeks:
number of weeks >= $225.49 / $38
number of weeks >= 5.93 (approximately)
Since the number of weeks must be a whole number, Tarik will have enough money to buy the tablet after 6 weeks.
To summarize:
- After 2 weeks, Tarik will have $116 saved.
- After 3 weeks, Tarik will have $154 saved.
- After 4 weeks, Tarik will have $192 saved.
- Tarik will have enough money to buy the tablet after 6 weeks.
- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.