Final answer:
The correct equation to model Damon's savings plan where x represents months and y represents total saved amount is c) y - 500 = 400x. This indicates an initial saving of $500 and a monthly saving of $400.
Step-by-step explanation:
When reviewing Damon's work to model his savings plan for a vacation, we need to find an equation where x represents the number of months since last week, and y represents the total amount he has saved for the vacation. The correct statement should reflect the initial amount saved and the rate at which Damon saves money every month.
Looking at the options given:
- a) y = 500 + 400x: This equation indicates that Damon starts with $500 and saves $400 each month.
- b) y - 500 = 500 + 400x 500: This statement, once the typo ' 500' at the end is ignored, could suggest that after starting with $500, Damon somehow ends up with an additional $500 on top of the $400 he saves each month, which doesn't make much sense contextually.
- c) y - 500 = 400x: This equation means that the initial amount saved was $500, and then $400 is added for each month x.
- d) y - 500 div 400 = 1: This does not seem to fit the typical form of a savings plan equation as it suggests a fixed amount after dividing the total savings minus $500 by 400.
- e) 2,500 500 = x: This is not an equation that reflects a saving plan, but rather an arithmetic operation subtracting 500 from 2,500.
Considering these options and the question's context, the best equation that reflects Damon's savings plan is most likely c) y - 500 = 400x, which implies starting with $500 and saving $400 per month. Therefore, the true statement is option C: (y - 500 = 400x).