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Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period. Nikki's Dive Time (seconds) Depth (feet) 0 0 1 1.5 2 3 3 4.5 4 6 Which equation shows the relationship in the table between the time, t, and the depth, d? O d = 36 O d = 1.5t Od=t+2 Od=t+ 1.5

Nikki dove into a pool and swam underwater The table shows how her depth changed during a 4second time period Nikkis Dive Time seconds Depth feet 0 0 1 15 2 3 3 class=

Respuesta :

The second option is the correct answer. That is, d= 1.5t

taking two points from the table, we have, (0,0) and (1,1.5)

The slope=

[tex]\frac{d_2-d_1}{t_2-t_1}=\frac{1.5-0}{1-0}=1.5[/tex]

The equation of the line is,

[tex]\begin{gathered} d-d_1=slope(t-t_1) \\ d-0=1.5(t-0) \\ d=1.5t \end{gathered}[/tex]

So, the equation that show the relationship is d=1.5t ( second option)

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