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I need help with this question! thank u :)

Claudia is walking at a constant speed in front of a motion sensor. After 1 s, she is 2.5 m from the sensor. 2 s later, she is 4.0 m from the sensor.

a) Find the equation in the form d =mt +b that describes her motion.

b) Determine the slope and the d-intercept and explain what they mean.

c) How far will Claudia be from the sensor 5 s after she begins walking?

Respuesta :

latease54
Presumably d meanst distance and t means time.

When t = 1, d = 2.5
When t = 3, d = 4

d = mt + b
2.5 = m + b [t = 1]
4.0 = 3m + b [t = 2]
1.5 = 2m [subtract]
m = .75 = slope
b = 1.75 = d-intercept
d = .75t + 1.75
d = 15/4 + 7/4 [t = 5]
d = 22/4 = 5.5 m from sensor

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