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≤78 18 less-than-or-equal-to x less-than-or-equal-to 78 x= all real numbers x equals all real numbers 0≤x≤78 0 less-than-or-equal-to x less-than-or-equal-to 78 0≤x≤18

Answer 1

In the context of the football being thrown, we are interested in the horizontal distance traveled by the football. The maximum height does not affect the horizontal distance for the purpose of this question.

The football is thrown from an initial horizontal position (let's say \(x = 0\)) to where it lands at \(x = 78\) yards. The height of the football can be ignored for the domain of the horizontal distance.

Therefore, the correct representation of the domain in terms of the horizontal distance \(x\) is:

0 ≤ x ≤ 78

This means that the horizontal distance covered by the football is from 0 yards (where it was thrown) to 78 yards (where it lands).