To find the diver's elevation after 8 seconds, we can use the rate of change of elevation, which is -1.3 meters per second.
We calculate the total change in elevation over 8 seconds using the formula:
\[ \text{Change in elevation} = \text{Rate} \times \text{Time} = -1.3 , \text{meters/second} \times 8 , \text{seconds} = -10.4 , \text{meters} \]
This means the diver's elevation has dropped by 10.4 meters after 8 seconds.
If we assume she starts at an elevation of 0 meters (the surface of the water), we calculate her new elevation as follows:
\[ \text{New elevation} = \text{Starting elevation} + \text{Change in elevation} = 0 , \text{meters} - 10.4 , \text{meters} = -10.4 , \text{meters} \]
Thus, the diver's elevation after 8 seconds is -10.4 meters.