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?
y = 3X + 5
y = 4x
y = 3x
y = 4x + 5
y = 3X + 3
y = 4x
To determine which graph best shows Andrea and Damian’s collection plan, let’s analyze their goals:
– Damian starts with 5 items and collects 3 items per day. His daily collection can be represented by the equation ( y = 3x + 5 ) where ( y ) is the total number of items collected and ( x ) is the number of days.
– Andrea collects 4 items per day and starts from 0, represented by the equation ( y = 4x ).
Now, since we need to show both lines on one graph, the correct set of equations based on their collection plans is:
– ( y = 3x + 5 ) for Damian
– ( y = 4x ) for Andrea
So, the correct answer is:
y = 3X + 5 and y = 4x.
This combination highlights both collection plans accurately over time.