Question

kira is walking. , given below, is her distance in kilometers from tomsville after hours of walking. complete the following statements. let be the inverse function of . take to be an output of the function . that is, and . (a) which statement best describes ? the amount of time she has walked (in hours) when she is kilometers from tomsville. her distance from tomsville (in kilometers) after she has walked hours. the ratio of the amount of time she has walked (in hours) to her distance from tomsville (in kilometers), . the reciprocal of her distance from tomsville (in kilometers) after walking hours.

Answer 1

The statement that describes inverse function best is the amount of time she has walked (in hours) when she is kilometers from tomsville

According to the question,

The given function denotes the distance travelled by Kira in kilometers from tomsville after hours of walking

D(t) =  10.4 - 4t

The inverse of the function is D⁻¹(x)

=> D(t) =  10.4 - 4t

Converting equation in terms of t,

=>  D(t) + 4t = 10.4

=> 4t = 10.4 - D(t)

=> t = 10.4 - D(t) /4

Inverse function =  D⁻¹(x) = 10.4 - D(x) /4

It denotes the amount of time she has walked (in hours) when she is kilometers from tomsville.

From the following statements in the question

Option (a) is correct about inverse function

To know more about Inverse function here

https://brainly.com/question/2541698

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