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Terri is skiing down a steep hill. Terri's elevation, [tex]E[/tex], in feet after [tex]t[/tex] seconds is given by [tex]E = 3600 - 80t[/tex].

What does the equation tell us?

Answer :

Part 1) The equation tells us that Terry started at an elevation of 3,600 ft

Part 2) The elevation is decreasing by 80 feet each second

The equation tells us what ?

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

E(0=3600-80(0))

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

This is the equation of the line into slope intercept form

The slope m is equal to

-80ft/s

The slope is negative because is decreasing

therefore

The elevation is decreasing by 80 feet each second

Read more about slope

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