Jenny is walking. Her distance \"D\" in kilometers from Newbury Heights after \"

Question

Jenny is walking. Her distance "D" in kilometers from Newbury Heights after "t" hours of walking is given below.
D(t) = 13.5 - 5t
Finding. evaluating. and interpreting an inverse fun Jenny is walking. Her distance D in kilometers from Newbury He D0)-13.5- 5t Complete the following statements. Let D be the inverse function of D Take to be an output of the function D. (a) Which statement best describes D O The amount of time she has walked (in hours) when she is x kilometers from Newbury Heights O Her distance from Newbury Heights (in kilometers) after she has O The ratio of the amount of time she has walked (in hours) to her O The reciprocal of her distance from Newbury Heights (in kilometers) walked x hours. distance from Newbury Heights (in kilometers), x. after walking x hours. D-1 (r)= n' (75) #0 (b) (e) Explanation Check

Explanation / Answer

D(t) = 13.5 - 5t

D^-1 ( x) is the reciprocal of her distance from newbury heights

b) finding D^-1 (x)

let y = 13.5 - 5x

switching x and y

x = 13.5 - 5y

solving for y

y = ( 13.5 - x) / 5

D^-1 (x) = ( 13.5 - x) / 5

c) D^-1 (7.5) = (13.5- 7.5) / 5

= 6/5

= 1.2

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