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IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions (id: 5f3f3b3

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admin 发表于 2024-2-15 21:49:15 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions,类别为 IB数学

[填空题]
The average gasoline price, P,(0fse a, 8g zoe,wb6ob 6qco5 nmg1 o1bin cents per gallon, in USA 2019 can be modelled by the 1ob 1oqm65cgn function
P(t)=acos($15^{\circ}$t+$90^{\circ}$)+b,0≤t≤365,where t is the elapsed time, in days, since New Year's Eve 2018.
Part of the graph of y=P(t) is shown below.


1.Write down the value of b.  
The average price of gasoline on the 1414th of January, 2019 was 328 cents per gallon.
2.Show that the value of a is equal to 56.   
3.Hence calculate:
(1)the average gasoline price on the 1414th of February, 2019 ; P ≈    cents per gallon
(2)the minimum and maximum average prices of gasoline in USA 2019.
The cycle of average gasoline prices repeats every T days.$P_{min}$ ≈    cents per gallon; $P_{max}$ ≈    cents per gallon
4.Determine the value of T.   




参考答案:
空格1: 300空格2: 56空格3: 340±2%空格4: 244±2%空格5: 356±2%空格6: 24


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