Final Answer:
The equation that represents Zara's situation where she made an initial deposit and then added the same amount every week is C) y = 20x + 140.
Step-by-step explanation:
In the equation y = mx + c, where 'y' represents the total amount, 'x' denotes the number of weeks, 'm' signifies the constant amount added every week, and 'c' is the initial deposit. Here, the equation y = 20x + 140 reflects Zara's scenario. The term '20x' represents the amount added every week, while the constant '140' signifies the initial deposit Zara made. Therefore, the equation y = 20x + 140 accurately models Zara's situation, where she added $20 every week after an initial deposit of $140 (option c).
To break it down further, the constant '20' in the equation represents the fixed amount Zara added weekly, while the constant '140' indicates the starting amount she deposited initially. The equation demonstrates a linear relationship between the total amount saved ('y') and the number of weeks ('x'), where the amount 'y' increases by $20 every week from the initial deposit of $140.
Hence, among the given options, the equation y = 20x + 140 best represents Zara's situation, showcasing an initial deposit of $140 followed by a consistent addition of $20 every week, resulting in the total amount saved after 'x' weeks.