On the basis of data recorded between 2001 and 2007, the number of cable subscri

Question

On the basis of data recorded between 2001 and 2007, the number of cable subscribers in the United States as a function of the average monthly basic cable rate can be modeled as s(r) = 89.391 - 6.486 In a million subscribers when the average basic rate is r dollars per month. Use the model; to estimate the number of subscribes (in million) for the following monthly basic rates: $34, $37, $40.(Round your answer to three decimal places.) Interchange the input/output values for the three points found in part (a). Use the three inverted points to find an inverse function r with input s. (Round all numerical values to three decimal places.) r(s) =

Explanation / Answer

a) Substitute the values of r in the given equation with 34, 37 and 40 to obtain the number of subscribers.

s(34) 89.391-6.486 ln(34)=66.520

s(37)=66.971

s(40)=66.465

b) Now substitute 34 in s(34) with 66.520, 37 with 66.971 and 40 with 66.465 to obtain million subscribers.

s(66.520)= 62.166, s(66.971)=62.122 and s(66.465)=62.171

r(s)=10^s

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