Answer:
Part 1) The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) The elevation is decreasing by 50 feet each second
Step-by-step explanation:
we have
[tex]E(t)=2,600-50t[/tex]
where
E(t) is Terry's elevation in feet
t is the time in seconds
Part 1) Find the E intercept of the equation
The E-intercept is the value of E when the value of t is equal to zero
so
For t=0
substitute
[tex]E(0)=2,600-50(0)[/tex]
[tex]E(0)=2,600\ ft[/tex]
therefore
The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) Find the slope of the equation
we have
[tex]E(t)=2,600-50t[/tex]
This is the equation of the line into slope intercept form
The slope m is equal to
[tex]m=-50\ ft/sec[/tex]
The slope is negative, because is decreasing
therefore
The elevation is decreasing by 50 feet each second
