Question

A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, $t,$ in hours given by $d(t)=50 t .$ Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function $t(d)$ . Find $t(180)$ and interpret its meaning.

Name: A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, t, in hours given by d(t)=50 t . Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d) . Find t(180) and interpret its meaning.
Uploaded: 2023-01-14T22:06:48-08:00
Duration: 1 min 36 s
Channel: Eduard Sanchez
Description: A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, t, in hours given by d(t)=50 t . Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d) . Find t(180) and interpret its meaning.

          A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, $t,$ in hours given by $d(t)=50 t .$ Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function $t(d)$ . Find $t(180)$ and interpret its meaning.

Added by Alberto M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Eduard Sanchez

01/14/2023

Step 1

To do this, we use the equation $d(t)=-50t$, which gives us the function $t(d)=-50d$. Show more…

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A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, $t,$ in hours given by $d(t)=50 t .$ Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function $t(d)$ . Find $t(180)$ and interpret its meaning.