Answer:
Part a) The speed is
Part b) After 4 seconds the trains is 24 ft along the track
Part c)
Step-by-step explanation:
we have
This is the equation of a line in slope intercept form
where
s(t) is the position of a model train in feet
t is the time in seconds
Part a) How fast is the train moving?
The speed of the train is equal to the slope of the linear equation so
The slope m is equal to
therefore
The speed is
Part b) Where is the train after 4 seconds?
For t=4 sec
substitute the value of t in the equation and solve for s
therefore
After 4 seconds the trains is 24 ft along the track
Part c) When will the train be 29 feet along the track?
For s(t)=29 ft
Substitute the value of s(t) in the equation and solve for t
subtract 14 both sides
Divide by 2.5 both sides
rewrite