Question

A player shoots a hockey puck straight at a net, where a goalie attempts to stop the puck. The puck's distance, in feet, from the net after
x
seconds is modeled by the function below.



f
(
x
)
=
70
−
140
x



Which information does the
x
-intercept of the graph of
f
(
x
)
provide?


The player shoots the puck from 70 feet away from the net.


It will take 2 seconds for the puck to reach the goalie.


It will take 0.5 second for the puck to reach the goalie.


The player shoots the puck from 140 feet away from the net.

Answer 1

Set f(x)=0: 70 − 140x = 0 → 140x = 70 → x = 0.5.

So the x‑intercept means the puck reaches the net after 0.5 seconds.