7.1 Relations and Functions
What is Mr. K's Subway order
Turkey Cali Club
Write a function rule for the statement:
The output is eight more than one-seventh of the input.
y = 8 + 1/7x
Example 4 pg. 291
y = -4x - 2
Example #8 pg. 297
Linear
Self-Assessment #23 pg. 311
population increases then remains constant and then decreases
How is a relation different from a function?
In a function, each input is paired with exactly one output. In a relation, inputs can be paired with any number of outputs.
Which of these is not a real hockey team?
Minnesota Wild, Montreal Canadians, Carolina Hurricanes, Pittsburgh Penguins, New England Bulldogs
New England Bulldogs
example 2 pg. 290
y = 2
Homework question #13
You climb a climbing wall. You climb halfway up the wall at a constant rate, then stop and take a break. You then climb to the top of the wall at a greater constant rate.
Let me see
Homework #18 pg. 280
Not a function
Homework #30 pg.287
x's and y's are flipped
example 5 pg. 291
R = 2A + 2
y-intercept - company makes 2 million dollars if then spend no money on advertising.
Slope - company makes 2 million dollars for each million they spend on advertising
Olso is the capital of what Scandinavian country?
Norway
homework #23 pg. 306
a. Bowler A struggled at first but increases quickly toward the middle / end of the season. Bowler B started out well but remained consistent as the season went on.
b. Bowler B had the better average for the season. Bowler A ended with the greater average
c. Bowler A fixed his technique and got hot as the season went on. Bowler B hit a slump and remained in it throughout the year.
Story Problem #10 a and b pg. 278
a. yes
b. 2
You fill a fish tank with 55 gallons of water on Saturday. Th e water evaporates at a rate of 1.5 gallons per day. You plan to add water when the tank reaches 49 gallons. When will you add water? Justify your answer.
4 days after Saturday. Wednesday
homework number 14 pg. 294
a. hiking
b. 472.5 cal
Homework # 17 pg. 300
a. linear
b. the birch tree
You are competing in a footrace. You begin the race by increasing your speed at a constant rate. You then run at a constant speed until you get a cramp and have to stop. You wait until your cramp goes away before you start increasing your speed again at a constant rate. Sketch a graph that represents the situation.
let me see
Homework #20 pg. 280
a. yes
b. cost increases. cost per t-shirt decreases
Homework #38 pg. 288
Snake tours is a better deal
Th e heat index is calculated using the relative humidity and the temperature. For every 1 degree increase in the temperature from 94°F to 97°F at 75% relative humidity, the heat index rises 4°F. On a summer day, the relative humidity is 75%, the temperature is 94°F , and the heat index is 124°F. Estimate the heat index when the relative humidity is 75% and the temperature is 100°F. Use a function to justify your answer. (Use point slope form)
H = 4t -252
heat index = 148
homework #18 pg. 300
a. Show a is nonlinear, show b is linear
b. Show B
Daily Double: Put the teams in order of their current standings in the NBA Eastern.
Cavs, Celtics, Bucks, 76ers, Nets
1. Celctics
2. Bucks
3. 76ers
4. Cavs
5. Nets