Question

Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by E(t)=2600−50t.

Answer 1

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

$E(t)=2,600-50t$

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

$E(0)=2,600-50(0)$

$E(0)=2,600\ ft$

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

$E(t)=2,600-50t$

This is the equation of the line into slope intercept form

The slope m is equal to

$m=-50\ ft/sec$

The slope is negative, because is decreasing

therefore

The elevation is decreasing by 50 feet each second