Hello there. <span> The ordered pairs model an exponential function, where w is the function name and t is the input variable. {(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)} What is the function equation in sequence notation? Enter your answer in the box. </span> w = 15 (4^t)
We are given the set of points <span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)} If w is the function name and t is the input variable, then the equation has the form w = k a^t Plugging in any two of the points to solve for k and a Choosing </span>(1, 60) and (2, 240)<span> 60 = k a k = 60 / a
240 = k a^2
Substituting 240 = 60/a (a^2) a = 4 and k = 60 / 4 = 15
The distribution lies within one of the standard of deviation of the mean so <span>68% </span> The distribution lies within two of the standard of deviations of the mean so 95% The distribution lies within three of the standard of deviations of the mean so 99.7%