Introduction to Functions Discussion
Before engaging in the discussion, view the Discussion Guidelines and the Discussion Rubric to ensure that you understand the expectations for this activity. Once you have posted your response, you are also required to respond to at least two other students’ posts. You may want to check back later to respond to your classmates.
1. 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.
Situation 1:
In a grocery store, a customer is buying apples. The price of the apples is $2 per pound. The customer wants to know how much she will spend based on the number of pounds of apples she buys.
Situation 2:
A car is driving at a constant speed on a straight road. The car's odometer is used to measure the distance traveled over time. The driver wants to know how the distance traveled relates to the time passed.
Ordered pair for Situation 1: (3, 6)
Explanation: In Situation 1, the ordered pair (3, 6) represents the situation where the customer buys 3 pounds of apples and spends $6. This means that for every pound of apples, the customer spends $2.
Ordered pair for Situation 2: (5, 50)
Explanation: In Situation 2, the ordered pair (5, 50) represents the situation where the car has traveled a distance of 50 miles in 5 hours. This means that the car is traveling at a constant speed of 10 miles per hour.