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Ryan stepped into an escalator moving at a constant rate. The table below shows his distance from the first floor after different amounts of time. What was Ryan’s distance from the first floor when he stepped onto the escalator?_ centimeters

Ryan stepped into an escalator moving at a constant rate The table below shows his distance from the first floor after different amounts of time What was Ryans class=

Respuesta :

step 1

Find the slope or unit rate of the linear equation

take the points

(6,1070) and (9,980)

m=(980-1070)/(9-6)

m=-90/3

m=-3 cm/sec

step 2

Find the equation in pont slope form

y-y1=m(x-x1)

we have

m=-3

(x1,y1)=(6,1070)

substitute

y-1070=-3(x-6)

Convert to slope intercept form

isolate the variable y

y-1070=-3x+18

y=-3x+1088

therefore

the y-intercept or initial value is 1088 cm

the answer is

1088 cm

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