Question

Pamela is building a quadratic model to show the height of a baseball as it's tossed straight up into the air and falls back to the ground. The baseball reaches a maximum height of 50 feet and lands back on the ground after 11 seconds. Which of the following domains is appropriate for this model in context?

a) 0 to 11
b) 0 to 50
c) All Positive Real Numbers and Zero
d) All Real Numbers

Answer 1

The appropriate domain for Pamela's quadratic model that represents the height of a baseball thrown into the air is from 0 to 11 seconds, as this is the time interval the baseball is in flight.

Step-by-step explanation:

Pamela is building a quadratic model to show the height of a baseball as it's tossed straight up into the air and falls back to the ground. Knowing that the baseball reaches a maximum height of 50 feet and lands back on the ground after 11 seconds, the appropriate domain for this model in context is a) 0 to 11. The domain represents the time interval from when the baseball is tossed until it lands, and since we cannot have negative time in this scenario and the ball lands after 11 seconds, the domain consists only of the times when the baseball is in the air.