Answer:
The initial value is $78
Explanation:
Given
![Base\ Amount = \$78](https://img.qammunity.org/2021/formulas/mathematics/college/ozxbmmm5lich9550rwo7ei2nrkn6wzyrga.png)
(weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:
![Balance = Base\ Amount + Additional * number\ of weeks](https://img.qammunity.org/2021/formulas/mathematics/college/uxuy1j1lxfxuuz0b0sg2xgjgktwq4kopt3.png)
Represent number of weeks with x; So, we have:
![Balance = 78 + 30 * x](https://img.qammunity.org/2021/formulas/mathematics/college/mn1vtet79aexevuxkbvos9xuk1uqy1605k.png)
![Balance = 78 + 30 x](https://img.qammunity.org/2021/formulas/mathematics/college/xynvi6ftnoofv9aq8ix6bve4yryczj55u0.png)