Ratios, Rates, Unit Rate
Equivalent Ratios/Ratio Tables
Constant of Proportionality/Constant Rate of Change/Direct Variation
Slope
Slope intercept form
100
What is a ratio? Give an example
A ratio is a comparison of two quantities
Ex. 3 apples to 4 oranges
100
Are these ratios equivalent?
1:5
3:15
Yes
100
12 dollars/1 suit
100
What is the formula for finding the slope of a line?
y2-y1/x2-x1
100
Identify the slope and y-intercept of the following line:
y = -5x + 3
K = -5
y-int = 3
200
What is a rate? Give an example
A rate is a comparison of two different quantities
Ex. Driving 50 miles in 5 hours
200
Are these ratios equivalent?
9:27
3:1
No
200
1/5
200
What is the slope of this line?
k = 2/3
200
Create an equation to represent the following line:
y = -4/3x - 1
300
What is a unit rate?
A ratio or rate with a denominator of 1
Ex. 25 miles per gallon, 25/1
300
10
45
300
Identify the Constant Rate of Change
40 miles per hour
300
Is the slope of this line positive, negative, zero, or undefined?
Negative
300
Create an equation to represent the following line:
y = 1/2x
400
If a plane flies 600 miles in 3 hours, what is its unit rate?
200 miles per hour
400
8
18
400
Identify the constant rate of change:
There is NO constant rate of change...it is changing at different intervals!
400
Identify the slope from the following equation:
y = 2/5x - 4
K = 2/5
400
Write an equation to represent the following line:
y = 5
500
If Stephanie can eat 20 hotdogs in 4 minutes, how many hotdogs can she eat in 9 minutes?
45 hotdogs
500
Identify one larger and one smaller equivalent ratio to 12:15
Answers may vary
500
Identify the Direct Variation:
y = 20x
500
Calculate the slope of a line from two of its points:
(5, 10), (1, 20)
k = -5/2
500
Create an equation to represent a line that passes through the following 2 coordinates:
(0, 5)
(4, 6)
y = 1/4x + 5