Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian’s goal is to collect 3 items per day, and Andrea’s goal is to collect 4 items per day.
Which graph best shows their collection plan?
A) y = 3x + 5, y = 4x
B) y = 3x, y = 4x + 5
C) y = 3x + 3, y = 4x
To determine which graph best shows Andrea and Damian’s collection plan, we need to analyze their equations based on their starting points and daily collection rates.
Damian starts with 5 items and collects 3 items per day. His equation can be represented as:
– (y = 3x + 5)
where (y) is the total items collected, and (x) represents the number of days.
Andrea starts from zero and collects 4 items per day. Her equation is:
– (y = 4x)
Now, let’s look at the options:
A) (y = 3x + 5), (y = 4x) (Correct!)
This matches both Damian’s and Andrea’s collection plans.
B) (y = 3x), (y = 4x + 5)
This is incorrect as it suggests that Damian starts from zero.
C) (y = 3x + 3), (y = 4x)
This is also incorrect because it doesn’t reflect Damian’s actual starting point of 5 items.
So, the correct answer is A: (y = 3x + 5), (y = 4x). Keep up the good work! If you have more questions, feel free to ask or check the extended services page for more assistance.