An elevator car in a skyscraper can hold at most 15 people. For safety reasons, each car can carry a maximum of 1,500 kg. On average, an adult weighs 70 kg and a child weighs 35 kg. Assume that each person carries 4 kg of gear with them.

Write as many equations and inequalities as you can think of to represent the constraints in this situation. Be sure to specify the meaning of any letters that you use. (Avoid using the letters z, g, or g.)

Trade your work with a partner and read each other's equations and inequalities.

a. Explain to your partner what you think their statements mean, and listen to their explanation of yours.
b. Make adjustments to your equations and inequalities so that they are communicated more clearly.

Rewrite your equations and inequalities so that they would work for a different building where:

• an elevator car can hold at most z people
• each car can carry a maximum of m kilograms
• each person carries g kg of gear