Is buying the larger quantity always the "better buy? use one example from your work to
justify your answer.

YES,  buying the larger quantity always the "better buy".

Step-by-step explanation:

YES,  buying the larger quantity always the "better buy".

Because,  when we buy the larger quantity we do the following things:

1. The cost of buying larger quantity is ALWAYS LESS than buying the same amount of smaller quantity. So, WE SAVE MONEY.

For example:  The cost of a 250 g packet sugar id $ 1.2. The cost of 1 kg packet of same type of sugar is $ 3.

So here if we buy one packet of 1 kg sugar : we pay $ 3

But if we buy 4 packets of 250 g = 1 kg: We pay 4 x  ( $1.2) = $ 4. 8

⇒ For the SAME AMOUNT of sugar ( 1 kg)  we pay $ 3 and $ 4.8.

⇒ We pay LESS when we buy one 1 kg packet then if we buy four 250 g packet.

Hence, it is always advisable to buy Larger quantity.

2. We save environment by using LESS resources, which are used to pack the smaller quantities.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.