(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the time in seconds which is a direct variation equation for this relationship
A. d= 3/5t
B. d = 5/3t
C. t= 5/3d
D. t= 2/5d

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

d -----> the distance in meters

t ----> the time in seconds

Looking at the graph we have the point (3,5)

That means ----> For t=3 sec, d=5 m

Find the value of k

[tex]k=d/t[/tex]

substitute the value of y and the value of x

[tex]k=5/3[/tex]

The linear equation is

[tex]d=kt[/tex]

substitute the value of k

[tex]d=\frac{5}{3}t[/tex]

(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the time in seconds which is a direct variation equation for this relationship A. d= 3/5t B. d = 5/3t C. t= 5/3d D. t= 2/5d

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(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the time in seconds which is a direct variation equation for this relationship
A. d= 3/5t
B. d = 5/3t
C. t= 5/3d
D. t= 2/5d