Question

let ( f(r) ) be the number of riders on a bus ( r ) hours after 8 a.m. explain the meaning of the statement

1. ( f(3)=23 )
2. ( f(0)=1 )
3. ( f(5)>f(2) )

Explanation:

Step1: Analyze the function input and output

Since \(f(r)\) represents the number of riders on a bus \(r\) hours after 8 A.M.

Step2: Interpret each statement

• For \(f(3) = 23\): When \(r = 3\) (3 hours after 8 A.M., which is 11 A.M.), the number of riders \(f(r)\) is 23. So it means there are 23 riders on the bus at 11 A.M.
• For \(f(0)=1\): When \(r = 0\) (0 hours after 8 A.M., which is 8 A.M.), the number of riders \(f(r)\) is 1. So it means there is 1 rider on the bus at 8 A.M.
• For \(f(5)>f(2)\): When \(r = 5\) (5 hours after 8 A.M., which is 1 P.M.) and \(r = 2\) (2 hours after 8 A.M., which is 10 A.M.), \(f(5)>f(2)\) means the number of riders on the bus at 1 P.M. is greater than the number of riders on the bus at 10 A.M.

Answer:

• \(f(3) = 23\): There are 23 riders on the bus at 11 A.M.
• \(f(0)=1\): There is 1 rider on the bus at 8 A.M.
• \(f(5)>f(2)\): The number of riders on the bus at 1 P.M. is greater than the number of riders on the bus at 10 A.M.