2233CE8

2233CE8 - Section 4.1 1) The revenue of a tire manufacturer...

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Section 3.5 1) The number of households in a certain community is given by h ( x ) = 1.26 x 2 + 7800 households x years after 2001. The proportion (expressed as a decimal) of the households in this same community that have DVD recorders is given by p ( x ) = x years after . . . 663 13 7 8 1 1875 + e x 2001. a) What does C ( x ) = h ( x p ( x ) represent? b) Find and interpret the following: (i) h (3) and h (3) (ii) p (3) and p (3) (iii) C (3) and C (3) 2) A Cadillac dealership collected the following data on the average price on all Devilles sold from 1998 through 2002 a) Find a model for the data b) The number of Devilles sold each year at the same dealership is given in the following table. Align the data so that the input values correspond with those in the model for part a and find an
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Unformatted text preview: Section 4.1 1) The revenue of a tire manufacturer can be modeled by S(x) = 22.982(1.137) x thousand dollars x years after 1966. a) How much did revenue change from 1980 to 1981? b) Use a derivative to approximate the change in part a . 2) The amount in an investment after t years is given by A( t ) = 5000(1.057) t dollars a) Give the rate-of-change formula for the amount. b) Find the rate of change of the amount after 8 years. Write a sentence interpreting the answer. c) On the basis of your answer to part b , determine by approximately how much the investment will grow during the first half of the 9 th year. Year 1998 1999 2000 2001 2002 Price 37,782 38, 331 38, 904 39,440 39,954 Year 1996 1997 1998 1999 2000 2001 2002 Cars 131 122 109 106 108 118 129...
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