The owner of a parking lot wishes to park x vans and y cars for persons attending a function The lot provides parking space for no more than 60 vehicles. Write an inequality to represent this information. To get a good bargain, he must provide parking space for at least 10 cars. (11) Write an inequality to represent this information. The number of cars parked must be fewer than or equal to twice the number of vans parked 111) Write an inequality to represent this information.
The owner of a parking lot wishes to park x vans and y cars for persons attending a function The lot provides parking space for no more than 60 vehicles. Write an inequality to represent this information. To get a good bargain, he must provide parking space for at least 10 cars. (11) Write an inequality to represent this information. The number of cars parked must be fewer than or equal to twice the number of vans parked 111) Write an inequality to represent this information.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 11WE
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Transcribed Image Text:The owner of a parking lot wishes to park x vans and y cars for persons attending a function
The lot provides parking space for no more than 60 vehicles.
(i)
Write an inequality to represent this information.
To get a good bargain, he must provide parking space for at least 10 cars.
(ii)
Write an inequality to represent this information.
The number of cars parked must be fewer than or equal to twice the number of vans parked
Write an inequality to represent this information.
iv)
Using a scale of 2 cm to represent 10 vans on the x-axis and 2 cm to represent
10 cars on the y-axis, draw the graphs of the lines associated with the inequalities
at (i), (1) and (iii) above.
(a)
(b)
Identify, by shading, the region which satisfies all three inequalities
The parking fee for a van is $6 and for a car is $5.
Write an expression in x and y for the total fees charged for parking x vans and y cars
vi)
Using your graph write down the coordinates of the vertices of the shaded region.
Calculate the maximum fees charged.
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