Proportionality
What does proportional mean?
Unit rate (or constant of proportionality) is the same.
What operation do we use to get unit rate?
Division
What's the slope?
(0, 5) and (4, 17)
3 or 3/1
Which is slope?
y = mx + b
m is slope
Which is a proportional relationship?
A) Victor has a flat rate of $100 for his babysitting company then a $10 charge each hour.
B) Morgan gets paid $14 an hour as a paramedic.
B
Michael drives 650 miles in ten hours. What is his unit rate (if he drove the same speed for all ten hours)?
65 miles per hour
What is the equation for finding the slope of two points?
y2 - y1/ x2 - x1
y = 6x
What's the slope?
6 or 6/1
Hannah spends 3 hours a night on homework.
What's the equation?
y = 3x
I got paid $320 this week by working 40 hours! How much do I get paid per hour?
$8 per hour
In the equation y2 - y1/ x2 - x1, what do the little numbers mean?
Which coordinate pair is being used. It shows us that our second coordinate pair that is given to us will be first.
What's the slope?
y = 3/4x
3/4
Ex. Jill gets paid $10 per hour
This week I ate 10,500 calories. How many calories did I eat per day?
1,500 calories
Find slope: (0, 0) and (3, 4)
4/3
What is k?
In an equation, it is the constant rate of proportionality (or unit rate).
Your teacher goes to get coffee every morning and buys herself and a friend a cup of coffee. If she goes to Starbucks, she pays $7. If she goes to Dunkin Donuts, she pays $6.75. What is the unit rate for the price of coffee at EACH place?
Starbucks: $3.50
Dunkin: $3.38
Find slope: (0, 0) and (2, 10)
5/1 OR 5
WHICH AXIS IS THE VERTICAL AXIS?
Y- AXIS