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The Following Graph Shows the Actual Percentage of U P(x)=931+5.35(1.05)xP ( x ) = \frac { 93 } { 1 + 5.35 ( 1.05 ) ^ { - x } }

question 39

Multiple Choice

The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points) and a logistic model of these data (the curve) . The logistic model is
P(x) =931+5.35(1.05) xP ( x ) = \frac { 93 } { 1 + 5.35 ( 1.05 ) ^ { - x } }
Where x is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates P(x) for small x Round the coefficients to the nearest hundredth.
 The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points)  and a logistic model of these data (the curve) . The logistic model is     P ( x )  = \frac { 93 } { 1 + 5.35 ( 1.05 )  ^ { - x } }   Where x is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates P(x)  for small x  Round the coefficients to the nearest hundredth.       A)   P ( x )  = 17.65 ( 2.1 )  ^ { x }  B)     P ( x )  = 14.65 ( 1.05 )  ^ { - x }  C)     P ( x )  = 17.65 ( 1.05 )  ^ { x }  D)     P ( x )  = 14.65 ( 1.05 )  ^ { x }  E)     P ( x )  = 14.65 ( 2.1 )  ^ { - x }


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