Answer:
The function is [tex]d=10t[/tex]
domain is 0 to 0.2 hour.
range is 0 to 2 miles.
Step-by-step explanation:
Given that,
Average velocity = 10 miles/hour
Time = 12 min = 0.2 hour
We need to write a function that models the student's distance from home
Using formula of distance
[tex]d=v\times t[/tex]
Where, v = velocity
t = time
d = distance
Put the value into the formula
[tex]d=10t[/tex]
This is a function.
We know that,
Domain :
Domain shows the time.
So, domain = 0 to 0.2 hour
Range :
Range shows the distance.
The range at t =0,
Put the value of t in the function
[tex]d = 10\times0=0[/tex]
The range at t =0.2 hour
[tex]d = 10\times0=0[/tex]
[tex]d=2\ miles[/tex]
So. range = 0 to 2 miles
Hence, The function is [tex]d=10t[/tex]
domain is 0 to 0.2 hour
range is 0 to 2 miles
