Priya finds these height requirements for some of the rides at an amusement park.

1. Write equations and/or inequalities for the height requirements of each ride. Use for the unknown height. Then, represent each height requirement on a number line.

   • High Bounce

     

   • Climb-A-Thon

     

   • Twirl-O-Coaster

     

2. Han’s cousin is 55 inches tall. Han doesn’t think she is tall enough to ride the High Bounce, but Kiran believes that she is tall enough. Do you agree with Han or Kiran? Be prepared to explain your reasoning.

3. Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. Which of the following could be Priya’s height? Be prepared to explain your reasoning.

   • 59 inches
   • 53 inches
   • 56 inches

4. Jada is 56 inches tall. Which rides can she go on?

5. Kiran is 60 inches tall. Which rides can he go on?

6. The inequalities and represent the height restrictions, in inches, of another ride. Write three values that are solutions to both of these inequalities.

A sign next to a roller coaster says, “You must be at least 60 inches tall to ride.” Noah is happy to know that he is tall enough to ride.

1. Noah is inches tall. Which of the following can be true? Explain how you know.

   

2. Noah’s friend is 2 inches shorter than Noah. Can you tell if Noah’s friend is tall enough to go on the ride? Explain or show your reasoning.
3. List a possible height for Noah that would mean:
   1. That his friend is tall enough to go on the ride.
   2. That his friend is not tall enough for the ride.

4. On the number line, show all the possible heights that Noah’s friend could be.

   

5. Noah's friend is inches tall. Use and any of the symbols , , to express this height.