Question

The table shows the height of an elevator above ground level after a certain amount of time. Model the data with an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds. Time (s) Height (ft) 10 202 20 184 40 148 60 112 y = 10x + 202 b y=-1.8+ 202 y=-1.8x + 220 y = 220x - 1.8 Submit

Answer 1

The table shows the height of an elevator above ground level after a certain amount of time. Model the data with an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds. Time (s) Height (ft) 10 202 20 184 40 148 60 112

Let

s ------> the time in seconds

h ----> the height in ft

step 1

Find the slope

take the points

(10,202) and (20,184)

m=(184-202)/(20-10)

m=-18/10

m=-1.8

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-1.8

(x1,y1)=(10,202)

substitute

y-202=-1.8(x-10)

convert to slope intercept form

y=mx+b

isolate the variable y

y-202=-1.8x+18

y=-1.8x+220

option C