what is the ordered pair of the origin?
(0,0)
Is this equation proportional? y= 3x
Yes
Are these ratios proportional?
5/11 and 6/12
No
What compares two quantities with different units?
Rate (not ratio)
What is a complex fraction?
A fraction where the problem has a fraction as either its numerator, denominator, or both?
What is the vocabulary word with this definition:
A rate that is simplified where the denominator is 1.
Unit Rate
Is this equation proportional?
y= 4x + 10
Not proportional
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
Solve
n=3.8
Simplify
2/(3/2-4/3)
12
What are 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
Darren bought 3 shirts for $44.10. Each shirt cost the same amount. Which equation models the cost, y, to purchase x shirts?
A: y = 14.70x
B:
y=x/14.70
C: y = 14.33x
D:
y=x/14.33
A: y = 14.70x
Is the table proportional?
No
(10/p+2)=4/3
p = 11/2
p=11/2
Simplify
(1/4+5/4)/4
3/8
150 square feet.
Using this graph, What is the constant rate of change?
6
The ratio of students to parents at a basketball game is 6 to 5. Is that proportional to 170 parents and 204 students?
Yes
Round to the nearest hundredths
(7.7/3.6)=(2.3/b)
b = 1.08
Simplify
(4/5)/(3/4-3/2)
-16/15
Mark has to make a scale drawing of the football field at his school. He has chosen the scale 1/2 inch = 5 ft. The football field is 360 ft. by 160 ft.
How big will the field be on his scale drawing?
36 inches by 16 inches
576 square inches
Is the table proportional? If so, why and what is the constant rate of change of cost per ticket?
Proportional
3/2
$1.50 per ticket
Which example does NOT show a proportional relationship?
A: The value of y is 3 times as large as the value of x.
B: John charges $25 for every 1/2 acre mowed.
C: Samantha makes $10 an hour at her job
D: Rental costs are $15 for the first hour and $10 for each additional hour.
D: Rental costs are $15 for the first hour and $10 for each additional hour.
8/(5x-4) = 6/(x+5)
32/11
Simplify
(n-9)/(n+5)=7/4
-71/3