MHB Using linear systems to solve problems (2)

  • Thread starter Thread starter bkan21
  • Start date Start date
  • Tags Tags
    Linear Systems
AI Thread Summary
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.
bkan21
Messages
6
Reaction score
0
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?
 
Last edited by a moderator:
Mathematics news on Phys.org
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 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...

Similar threads

Replies
1
Views
1K
Replies
44
Views
5K
Replies
3
Views
1K
Replies
1
Views
2K
Replies
4
Views
3K
Replies
2
Views
2K
Replies
9
Views
3K
Back
Top