(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

Answer:Option B. d = 5/3tStep-by-step explanation:see the attached figure to better understand the problemwe know thatA 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 originLet d -----> the distance in meterst ----> the time in secondsLooking at the graph we have the point (3,5)That means ----> For t=3 sec, d=5 mFind 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]