Answer:
75t; range is 0≤D≤75t
Step-by-step explanation:
Speed is defined as the change in distance of a body with respect to time.
Speed = Distance/Time
Given speed = 75mphr
Time covered by Alex = t hours
Distance covered by Alex can be expressed in term of t as;
Distance = (75meter/hr)× thr
Distance = 75m/hr × t hr
Distance = 75t meters
If the time T can take any value between 0 and t, range of the time will be 0≤T≤t.
Therefore the range of the distance will be 0≤D≤75t where;
D = 0 at T = 0 and
D = 75t at T = t
Given Information:
Speed = v = 75 miles per hour
Time = t hours
Required Information:
Distance function = ?
Domain = ?
Range = ?
Answer:
Distance function = D = 75t miles
Domain = ( 0 ≤ t ≤ ∞ )
Range = ( 0 ≤ D ≤ ∞ )
Step-by-step explanation:
Alex is travelling at a speed 75 miles per hour for t hours then the distance covered is
D = vt
D = (75 miles/hour) (t hour)
hour cancels out
D = 75t miles
Therefore, Alex covers a distance of 75t miles.
Domain:
The domain is all those possible values of time t for which we get a real output value of distance D.
Since time cannot be negative in this case the domain will be
Domain = ( 0 ≤ t ≤ ∞ )
Range:
The range is all those values of distance D after we substitute all the possible values of time t.
Range = ( 0 ≤ D ≤ ∞ )
