What do you notice? What do you wonder?

1. How much does each group need to pay for their tickets?
   1. 2 adults aged 40 and 36, and 2 kids aged 4 and 1
   2. 3 adults aged 74, 37, and 36
   3. 5 adults in their 30s and 25 students aged 15 and 16
   4. 1 adult aged 25 and 4 kids aged 1, 9, 13, and 16
2. A mother arrives and tells the box office clerk that her child is 35 months old. How much should the clerk charge for the child?
3. If there is a rule that uses the age of a person attending the orchestra concert as the input and outputs the ticket price for that person, is that rule a function? Explain your reasoning.
   1. What is the domain for the rule?
   2. What is the range for the rule?

1. Noah leaves his home, sometimes running, sometimes walking, sometimes stopping until he remembers that he doesn’t have his wallet, then he goes back home. Here is a graph representing his journey.

   

   Graph on coordinate grid, origin O. Horizontal axis, 0 to 400, by 40s, time, seconds. Vertical axis, 0 to 300, by 30s, distance from home, meters. Line starts at origin and passes through points, 20 comma 45, 60 comma 45, 120 comma 135, 180 comma 285, 210 comma 285, 400 comma 0.

   1. Describe what is happening on the domain .
   2. What are the domain intervals that represent the times when Noah was running?
   3. What are the domain intervals that represent the times when Noah was stopped?
   4. What are the domain intervals that represent the times when Noah was walking away from home?
2. The amount of light in a room is shown as a function of the number of hours after midnight. Describe what might be happening in the room. Be sure to use intervals within the domain in your description.

   

   Coordinate plane, time after midnight in hours, 0 to 24 by 2, light level in room by lux, 0 to 1,100 by 100. From 0 to 4, y = 0 until slight upturn just before 4. From 4 to 5 point 5, horizontal line at y = 200. Function jumps to 260 and increases rapidly toward 8 comma 1,000 and then levels out until 16 comma 1,000 where it drops rapidly toward 19 comma 170. From x = 19 to 23, y = 200.