Question

A football is thrown into the air. It reaches a maximum height of 18 yards and lands 78 yards from where it was thrown. Which answer option represents the domain, in terms of the context?(1 point)Responses 18≤x≤7818 less-than-or-equal-to x less-than-or-equal-to 78x= all real numbersx equals all real numbers 0≤x≤780 less-than-or-equal-to x less-than-or-equal-to 780≤x≤18

Answer 1

In the context of the problem, \( x \) represents the horizontal distance in yards from where the football was thrown. The football reaches a maximum height at some point in its trajectory and then lands 78 yards away from the starting point.

The valid range for \( x \) represents the distance traveled horizontally, starting from the point of throwing (0 yards) and ending at the point of landing (78 yards). Therefore, the domain is:

\[ 0 \leq x \leq 78 \]

So, the correct answer is:

**0 ≤ x ≤ 78**