华侨公园停车场预计“十·一”国庆节这天停放大小汽车1 200辆次,

华侨公园停车场预计·国庆节这天停放大小汽车1 200辆次,该停车场的收费标准为:大车每辆次10元,小车每辆次5元.

(1)写出国庆这天停车场的收费金额y()与小车停放辆次x()之间的函数关系式,并指出x的取值范围.

(2)如果国庆这天停放的小车占停车总辆数的65%85%,请你估计国庆这天该停车场收费金额的范围.

答案

解 (1)依题意得y5x10(1 200x)

=-5x12 0000≤x≤1 200.

(2)1 200×65%≤x≤1 200×85%,解得780≤x≤1 020

y=-5x12 000[780,1 020]上为减函数,

∴-5×1 02012 000≤y5×78012 000.

6 900≤y≤8 100

∴国庆这天停车场收费的金额范围为[6 900,8 100]

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