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).

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sqdancefan sqdancefan · Answer 1 · 2019-08-25T22:32:29+02:00

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

_____

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

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Eduard22sly Eduard22sly · Answer 2 · 2021-09-09T14:29:28+02:00

The inverse function is t(d) = d/65

Speed is defined as the distance travelled per unit time.

Speed = distance /time

Distance = speed × time

From the question given above, we were told that the distance (d) travelled is given by the function:

Thus, we can obtain the time (t) of travel in terms of the distance (d) as follow:

Distance = d

Speed = 65 mph

Distance = speed × time

d = 65 × t

Divide both side by 65

t = d/65

Therefore, the inverse function for the time of travel is t(d) = d/65

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