Question

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

Answer 1

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=

`(d_2-d_1)/(t_2-t_1)=(1.5-0)/(1-0)=1.5`

The equation of the line is,

`\begin{gathered} d-d_1=slope(t-t_1) \\ d-0=1.5(t-0) \\ d=1.5t \end{gathered}`

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