Pet Food Prices
Cat Food VS Dog Food
by: Dikshya Thapa
Situation
There are 2 pet food brands. One of them is Kitty Dinner, and sells cat food. The second brand is Puppy Munch and sells dog food. Here, there is a comparison between these 2 brands on which brand is cheaper.
Price of Kitty Dinner
Cost of cat food = $5+$3/kg
Price of Puppy Munch
Cost of dog food = $5/kg
Table Showing the Cost of Kitty Dinner
Table Showing the Cost of Puppy Munch
Algebraic Solution to the Linear Systems
Algebraic Proof for Kitty Dinner
Algebraic Proof for Puppy Munch
Graph Showing the Cost of Kitty Dinner VS the Cost of Puppy Munch
Summary
The solution to a linear system is when all the lines intersect at one point which is called the point of intersection. In this situation, knowing the solution is important because you can use it to tell which pet food is cheaper, and when it is cheaper. So, from the solution, we know that the Puppy Munch is cheaper if you are buying less than 2.5 kg of pet food, and Kitty Dinner is cheaper if you are buying more than 2.5 kg. The prices are the same ($12.50) for both Kitty Dinner and Puppy Munch.