A mobile phone company records their annual sales on 31 December every year.Paul thinks that the annual sales, S million, can be modelled by the equation S= ab', where a arb are both positive constants and t is the number of years since 31st December 2015.Paul tests his theory by using the annual sales figures from 31t December 2015 to 31st Decemb2019. He plots these results on a graph, with t on the horizontal axis and log,,S on the verticaxis.(a) Explain why, if Paul's model is correct, the results should lie on a straight line of best fit on hgraph.The results lie on a straight line of best fit which has a gradient of 0.146 and an intercept onvertical axis of 0.583.(b) Use these values to obtain estimates for a and b, correct to 2 significant figures.(c) Use this model to predict the year in which, on the 31st December, the annual sales wvould fibe recorded as greater than 200 million.(d) Give a reason why this prediction may not be reliable.

Given- A mobile phone company records their annual sales on 31st December every year. Paul thinks…

Answered: A mobile phone company records their…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= 3.059 (1.104*). (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) b. The quadratic function that models the data is y= 6.188x2-557.818x+12,448.185. (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 127 164 242 362 559 Age 60 65 70 75 Full data set Monthly Premium (S) 946 1904 3485 5873
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