Question

evaluate the function when ( x = - 3,0 ), and 5.

1. ( f ( x ) = x + 8 )
2. ( h ( x ) = 3 x - 9 )
3. let ( p ( t ) ) be the number of people in a stadium ( t ) hours after ( 11:00 ) a.m. explain the meaning of each statement.

a. ( p ( 3 ) = p ( 5 ) )
b. ( p ( 6 ) lt p ( 2.5 ) )

Explanation:

• For part a: In the function \(p(t)\), where \(t\) is the number of hours after 11:00 A.M. and \(p(t)\) is the number of people in the stadium. When \(p(3)=p(5)\), it means that the number of people in the stadium 3 hours after 11:00 A.M. (i.e., at 2:00 P.M.) is equal to the number of people in the stadium 5 hours after 11:00 A.M. (i.e., at 4:00 P.M.).
• For part b: When \(p(6)<p(2.5)\), it means that the number of people in the stadium 6 hours after 11:00 A.M. (i.e., at 5:00 P.M.) is less than the number of people in the stadium 2.5 hours after 11:00 A.M. (i.e., at 1:30 P.M.).

Answer:

a. The number of people in the stadium at 2:00 P.M. is equal to the number of people in the stadium at 4:00 P.M.
b. The number of people in the stadium at 5:00 P.M. is less than the number of people in the stadium at 1:30 P.M.