A football is thrown into the air. It reaches a maximum height of 12 yards and lands 82 yards from where it was thrown. Which answer represents the domain, in terms of the context?

Question

(1 point)
Responses

0≤x≤120≤x≤12

x: all real numbers
x: all real numbers

12≤x≤8212≤x≤82

0≤x≤82

Answer 1

In the context of the problem, the football is thrown and reaches a maximum height of 12 yards, and it lands 82 yards from where it was thrown. The domain represents the horizontal distance (x) over which the football travels.

Since the football is thrown from a starting point (0 yards) and lands at a distance of 82 yards, the horizontal distance the football can travel is between 0 and 82 yards.

Therefore, the correct domain in terms of the context is:

0 ≤ x ≤ 82.