MHB Using linear systems to solve problems (2)

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Provincial Express charges a fixed fee of $4 plus a variable cost of $1.50 per kilogram for overnight delivery, while The Package People has a fixed fee of $5 and a variable cost of $1 per kilogram. To determine when Provincial Express becomes the cheaper option, one can set up linear equations based on the costs. The equation for Provincial Express is represented as $y = 1.5x + 4$, where "x" is the weight of the package. The discussion emphasizes the use of linear systems to analyze and compare these delivery costs effectively.
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Provincial Express charges \$4, plus \$1.50/kg, to deliver a package overnight. The Package people charges \$5, plus \$1/kg. When is Provincial Express less expensive to use?
 
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Exactly the same as the rental car. Name stuff and demonstrate what you can do.
 
What do you know about linear equations? This one will be of the form $y=mx+c$ where "c" is fixed cost and "m" being variable cost (in this case per kilo) and x is mass.

Provincial Express is $4+ 1.50x$ - 4 is the fixed cost and 1.5 the variable cost.

Can you set up an equation for Tehe?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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