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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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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.
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.
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