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)Responses0≤x≤780 less-than-or-equal-to x less-than-or-equal-to 7818≤x≤7818 less-than-or-equal-to x less-than-or-equal-to 78x= all real numbersx equals all real numbers0≤x≤18

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)Responses0≤x≤780 less-than-or-equal-to x less-than-or-equal-to 7818≤x≤7818 less-than-or-equal-to x less-than-or-equal-to 78x= all real numbersx equals  all real numbers0≤x≤18

GPT-4o mini · Answer

In the context of the problem, the domain represents the horizontal distance traveled by the football after it is thrown. Since the football is thrown from one point and lands at another point downfield, the horizontal distance (denoted as "x"), must start from 0 yards (where it was thrown) to 78 yards (where it landed).

Therefore, the correct representation of the domain is:

0 ≤ x ≤ 78

This option indicates that the distance x can be anywhere from 0 to 78 yards inclusive, which makes sense given the problem's context.