Question

In a swimming competition, Grace jumped from the height of 22 meters. The following table represents the height f (t), in meters, at time t seconds. Time (t) (in seconds) Height f(t) (in meters) 1 25 2 20 3 15 4 0 Which of the following represents the x-intercept of f(t)? Grace reaches the swimming pool after 4 seconds. Grace reaches a maximum height of 25 meters. Grace reaches the swimming pool after 1 second. Grace reaches a maximum height after 20 seconds.

Answer 1

For this case we have the following variables:

t: time in seconds.

f (t): height as a function of time.

By the time Grace reaches the pool, the height is equal to zero.

We have the following table:

Time (t) (in seconds) Height f(t) (in meters)

          1                                   25

          2                                  20

          3                                   15

          4                                   0

We observe that the height is equal to zero after 4 seconds.

Equivalently:

$f (4) = 0$

Answer:

the following represents the x-intercept of f(t):

Grace reaches the swimming pool after 4 seconds