Answer:
Explanation:
a. After 3 weeks, the student will have deposited a total of $125 x 3 = $375 into her account.
To find out how much will be in the account after 3 weeks, we need to add the initial amount of $475 to the total deposits of $375.
Therefore, the amount in the account after 3 weeks will be $475 + $375 = $850.
b. To find out how long it will take for the student to have $1,350 in her account, we need to determine how many weeks it will take for her total deposits to reach $1,350.
Let's denote the number of weeks as "x". Since she deposits $125 each week, the equation for the relationship between the dollar amount in her account and the number of weeks of saving can be represented as:
$125x + $475 = $1,350
To find the value of "x", we can start by subtracting $475 from both sides of the equation:
$125x = $1,350 - $475
Simplifying further:
$125x = $875
Finally, to solve for "x", we divide both sides of the equation by $125:
x = $875 / $125
Simplifying:
x = 7
Therefore, it will take 7 weeks for the student to have $1,350 in her account.
c. The equation that represents the relationship between the dollar amount in her account and the number of weeks of saving is:
Amount in account = ($125 x Number of weeks) + $475
This equation takes into account the initial amount in the account ($475) and the weekly deposits ($125) multiplied by the number of weeks.