Question

A car travels at a constant speed of 40 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 40t. Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d).

t(d) =
Find t(180)

Interpret the meaning of t(180)
a) the number of minutes it takes for the car to travel 180 miles
b) the number of miles traveled in 180 hours
c) the number of hours it takes for the car to travel 180 miles
d) the number of miles traveled in 180 minutes
e) the speed of the car in miles per hour

Answer 1

Step-by-step explanation:

`t=(d)/(40)\\a.\\t=(180)/(40)=(9)/(2)~hrs=(9)/(2)×60=270~minutes.`

b.

d=40 t=40×180=7200~miles

c.

from t=9/2 hrs=4 1/2 hrs.

d.

180 minutes=180/60=3 hrs

d=40×3=120 miles.

e. 40 miles per hour.

c.