The price of gas at Leon's gas station is $1.50 per litre. If a customer buys a minimum of 10 litres, a discount of $5 is applied. This can be modelled by the following function, L, which gives the total cost when buying a minimum of 10 litres at Leon's gas station. L(x) = 1.50x-5, x2 10 where x is the number of litres of gas that a customer buys. (a) Find the total cost of buying 40 litres of gas at Leon's gas station. (b) Find L(70). The price of gas at Erica's gas station is $1.30 per litre. A customer must buy a minimum of 10 litres of gas. The total cost at Erica's gas station is cheaper than Leon's gas station when x> k. (c) Find the minimum value of k.
The price of gas at Leon's gas station is $1.50 per litre. If a customer buys a minimum of 10 litres, a discount of $5 is applied. This can be modelled by the following function, L, which gives the total cost when buying a minimum of 10 litres at Leon's gas station. L(x) = 1.50x-5, x2 10 where x is the number of litres of gas that a customer buys. (a) Find the total cost of buying 40 litres of gas at Leon's gas station. (b) Find L(70). The price of gas at Erica's gas station is $1.30 per litre. A customer must buy a minimum of 10 litres of gas. The total cost at Erica's gas station is cheaper than Leon's gas station when x> k. (c) Find the minimum value of k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Transcribed Image Text:The price of gas at Leon's gas station is S1.50 per litre. If a customer buys a minimum of
10 litres, a discount of $5 is applied.
This can be modelled by the following function, L, which gives the total cost when buying
a minimum of 10 litres at Leon's gas station.
L(x) = 1.50x-5, x2 10
where x is the number of litres of gas that a customer buys.
(a) Find the total cost of buying 40 litres of gas at Leon's gas station.
(b) Find L(70).
The price of gas at Erica's gas station is $1.30 per litre. A customer must buy a minimum
of 10 litres of gas. The total cost at Erica's gas station is cheaper than Leon's gas station
when x>k.
(c) Find the minimum value of k.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
