Answer: Ana will hit the water after 3 seconds.
Step-by-step explanation:
The exercise gives you the following function which models Anna's height above the water (in meters) after diving "x" seconds:
You can rewrite the function with :
In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:
- Substitute into the function:
- Solve for "x".
By the Zero Product Property, you know that if , then
or
.
Then you get:
- Choose the positive value ()
Then, Ana will hit the water after 3 seconds.