Two objects are moving along separate linear paths where each path is described by postion, d, and time, t. The variable d is measured in meters and the variable t is measured in seconds. The equation describing the graph of the postion of the first object with respect to time is d=2.5t+2.2. The graph of the the position of the second object is a parallel line passing through (t=0, d=1). What is the equation of the second graph.

A) d=2.5t+1

B) d=-0.4t+1

C) d=2.5t+3.2

Question

Mathematics

Martha Shepard

5 February, 02:08

Two objects are moving along separate linear paths where each path is described by postion, d, and time, t. The variable d is measured in meters and the variable t is measured in seconds. The equation describing the graph of the postion of the first object with respect to time is d=2.5t+2.2. The graph of the the position of the second object is a parallel line passing through (t=0, d=1). What is the equation of the second graph.

A) d=2.5t+1

B) d=-0.4t+1

C) d=2.5t+3.2

+1

Answers (1)

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Amaris · Answer 1

Linear equation: d = m t + b

If the graph of the position of the second object is parallel to d = 2.5 t + 2.2, than m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Answer: A) d = 2.5 t + 1