Name ___________________________
THE CLOCK MAKERS
Class ___________________________
In this problem, you will build a model of a real-life situation by writing linear inequalities to represent the constraints on the situation. You will see how the set of solutions changes as each constraint is added. The owner of a clock business can build one clock in 90 minutes. He can work at most 40 hours a week building clocks. Identify the two variables being measured
Complete the table to represent the relationship Write an inequality to represent the number of clocks, c, that he can make in one week.
____________________________________
Graph the given data to represent the limit on time.
Explain how we can use the Nspire calculator to help us understand reasonable solutions?
Create and analyze the graph in your calculator.
On a sheet of graph paper, sketch the inequality.
Use your sketch to determine if the owner make 10 clocks in a week?
Page 1
20?
30?
THE CLOCK MAKERS Part 2 – Independent Work The owner decides to hire an expert to help make clocks. The expert can make a clock in 75 minutes. However, the owner can only afford to ay the expert to work at most 20 hours a week. Identify the two variables being measured
Complete the table to represent the relationship Write an inequality to represent the number of clocks, c, that he can make in one week.
____________________________________
Graph the given data to represent the limit on time.
Explain how we can use the Nspire calculator to help us understand reasonable solutions?
Create and analyze the graph in your calculator
On a sheet of graph paper, sketch the inequality separately.
Use your sketch to determine if the expert make 10 clocks in a week?
Page 2
20?
30?
THE CLOCK MAKERS Part 3 – A Final Constraint A young clock smith moves to town looking for work. He tells the owner that he can make one clock in 45 minutes. The owner tells the young man he can only pay him for 10 hours a week. Identify the two variables being measured
Complete the table to represent the relationship Write an inequality to represent the number of clocks, c, that he can make in one week.
____________________________________
Graph the given data to represent the limit on time.
Explain how we can use the Nspire calculator to help us understand reasonable solutions?
Create and analyze the graph in your calculator
On a sheet of graph paper, sketch the inequality separately.
EXTENSION What is the difference in the time it would take the young clock smith to make as many clocks as it would take the expert? Are all of the points in the shaded region the solutions to the inequality?
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