IB MAI HL Functions Topic 2.2 Applications of Functions (id: 627a3cc34)

本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions，类别为 IB数学

[填空题]
The average petrol prq ;,j;sgm d1 i 3: n,mctgbcu./j1pfkkice, P, in cents per litre, in Austr y 0s2f-2yic:lp.mgfyalia 2019 can be modelleg:p20fmy .i s2lfcy-y d by the function
P(t)=asin($10^{\circ}$$\times$t)+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 petrol on the 21st of January, 2019 was 139 cents per litre.   
2.Show the value of a is equal to 12. a =   
3.Hence calculate:
(1)the average petrol price on the 10th of February, 2019; P ≈    cents per gallon
(2)the minimum and maximum average prices of petrol in Australia 2019.
The cycle of average petrol prices repeats every T days. $P_{min}$ =    cents per gallon $P_{max}$ =    cents per gallon
4.Determine the value of T. T =   

参考答案:
空格1: 145±2%  空格2: 12  空格3: 154±2%  空格4: 133±2%  空格5: 157±2%  空格6: 36±2% 


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