Using linear systems to solve problems (2)

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SUMMARY

The discussion centers on comparing delivery costs between Provincial Express and The Package People using linear equations. Provincial Express charges a fixed cost of $4 plus a variable cost of $1.50 per kilogram, represented by the equation y = 1.5x + 4. In contrast, The Package People charges a fixed cost of $5 plus a variable cost of $1 per kilogram, represented by y = x + 5. To determine when Provincial Express becomes less expensive, one must solve the inequality 1.5x + 4 < x + 5.

PREREQUISITES
  • Understanding of linear equations and their graphical representation.
  • Familiarity with cost analysis and comparison techniques.
  • Basic algebra skills for solving inequalities.
  • Knowledge of fixed and variable costs in pricing models.
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  • Learn how to graph linear equations to visualize cost comparisons.
  • Study the concept of inequalities and their applications in real-world scenarios.
  • Explore cost optimization strategies in logistics and delivery services.
  • Investigate other pricing models and their implications on consumer choices.
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Students, mathematicians, logistics managers, and anyone involved in cost analysis and optimization in delivery services.

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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?
 

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