Situation 1 (Modeling a Linear Pattern):
In a grocery store, a customer is shopping for apples. The customer notices that as they increase the number of apples they buy, the cost of the apples also increases linearly. For example, if the customer purchases 2 apples, the cost is $2. If they purchase 4 apples, the cost is $4. Similarly, if they buy 6 apples, the cost is $6. This pattern continues.
Situation 2 (Modeling a Nonlinear Pattern):
A child is riding a Ferris wheel at an amusement park. The child notices that as the ride progresses, the height they are at changes in a nonlinear pattern. The height increases rapidly at the beginning, reaching the highest point, then gradually decreases as the ride comes to an end. The change in height is not constant and varies with time.
Bot . Describe a situation that models a linear pattern and then describe a situation that models a nonlinear pattern. Do not state which situation is linear and which is nonlinear. Your classmates will need to determine which is which and then write a function that models the linear situation. Your classmates will also need to write 1 ordered pair that is a solution to the linear function and explain its meaning in the context of the situation.
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