MHB Using linear systems to solve problems (1)

  • Thread starter Thread starter bkan21
  • Start date Start date
  • Tags Tags
    Linear Systems
AI Thread Summary
To determine when the cost of renting a car from Rent-a-Heap and Kurt's Rent-a-Car is the same, a linear equation can be set up based on their pricing structures. Rent-a-Heap charges $50 per day plus $0.12 per kilometer, while Kurt's Rent-a-Car charges $40 per day plus $0.20 per kilometer. The equations can be expressed as C = 50 + 0.12D for Rent-a-Heap and C = 40 + 0.20D for Kurt's. Setting these equations equal allows for solving the distance D at which both rental costs are identical. This approach utilizes linear systems to find the solution effectively.
bkan21
Messages
6
Reaction score
0
Sook-Lee wants to rent a car for a day so she can visit her sister at university. She has called two car rental agencies. Rent-a-Heap charges \$50 per day, plus \$0.12/km. Kurt's Rent-a-Car charges \$40 per day, plus \$0.20/km. At what distance will the cost of renting of a car be the same from companies?
 
Last edited by a moderator:
Mathematics news on Phys.org
We are warned that it is a linear system. There should be a lot of y - mx + b going on. Maybe Ax + By = C.

Rules #1 - Name Stuff!

D = Daily Charge
M = Mileage Charge

Now what?
 
Last edited:
* y = mx + b
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Similar threads

MHB Using linear systems to solve problems (2)
Replies
2
Views
2K
MHB Using linear systems to solve problems (4)
Replies
1
Views
2K
Solving Best Rentals Car Rental Rates: Equation from Riddle
Replies
1
Views
2K
Can Mary Minimize Her Costs and Make a Profit?
Replies
1
Views
3K
Comp Sci Java calculations w/ conditional statements
Replies
7
Views
4K
MHB Solving Inequalities and Quadratic story problems
Replies
2
Views
2K
Systems of Linear equation/matrices problem. Need some help.
Replies
1
Views
4K
MHB How Can We Construct a Unique Linear System From Given Conditions?
Replies
5
Views
2K
Solving Romeo & Juliet's Love Dynamics: 1st Order Linear System of DEs
Replies
5
Views
4K
What can we learn from a friend's solar home data in Vermont?
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top