Question

A car travels at a constant speed of 65 miles per hour. The distance the car travels in Miles d, which is a function of time, t. This relation can br expressed in the function equation, d(t) = 65t. This function expresses the distance of travel in terms of the time traveled. Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d). ​

Answer 1

Answer:

t(d) = ᵈ/₆₅

Step-by-step explanation:

When you hear "inverse", it means everything changes places, or is the inverse of the other. So, as a function of t(d), originally it was 65t, so the inverse of that as a function of t(d) is ᵈ/₆₅.

I am joyous to assist you anytime.

Answer 2

Answer:

  t(d) = d/65

Step-by-step explanation:

To solve for t, divide by its coefficient:

  d = 65t

  d/65 = 65t/65 . . divide* by 65

  d/65 = t . . . . . . . simplify

Then you can write it in function form if you like:

  t(d) = d/65

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* Of course, the rules of equality say you must divide both sides of the equation by the same number.