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
The correct answer is A) y = 3x + 5; y = 4x.
Explanation:
– Damian starts with 5 items and collects 3 items per day, which gives the equation ( y = 3x + 5 ). Here, ( y ) represents the total items collected, ( x ) represents the number of days, and the ( +5 ) accounts for the items he already has.
– Andrea collects 4 items per day starting from 0, represented by the equation ( y = 4x ).
So, option A correctly represents both of their collection plans! If you want more clarification on graphing concepts, feel free to ask.