Equivalent expressions of functions
Verbal descriptions of equivalent expressions


Write two correspondence rules to describe each of the following stories. Present the functions with the Representation of Functions tool. Explain what each correspondence rule describes and check whether your two correspondence rules are equivalent. Explain how the numbers in the corrrespondence rules you have written relate to the situation described.


1. A pool is being emptied at a rate of 5 cubic meters per hour. It will be completely empty after 3 hours.


2. Elie received a sum of money for her birthday, which she spent at a rate of $2 a day until she ran out of money, after 3 weeks.


3. Eric works at a store from 4 pm to 7 pm, 5 days a week. His hourly salary is $4. For the first two days Eric was an apprentice and did not recieve any pay.


4. Robertson's Chocolate Shop sells chocolate by weight, but you must buy at least 100 grams. The first 100 grams of choclate costs $2, and each additional 100 grams costs $1.5.


5. The Beckman Chocolate Shop put up a sign: We sell 200 grams of chocolate at $5, and each additional 100 grams costs $2.





The form f(x)=ax+b
The form f(x)=a(x-c)
The form
f(x)=a(x-c)+m

Emphasizing information
Emphasizing intersections
Families of functions
Features from value tables
Partial pictures
Equivalent recipes
Telephone rates
Verbal descriptions of equivalent expressions
Stories
Describing a trip
Speeding car

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Exercise 13
Exercise 14
Exercise 15
Exercise 16
Exercise 17
Exercise 18
Exercise 19