Coordinate Grids
Which ordered pair is located in Quadrant III?
A. (4,-2)
B. (-2,3)
C. (3,4)
D. (-1,-5)
D. (-1,-5)
Pgs. 98-99 in Journal
The independent variable is always the _____ value/coordinate.
X
Pg. 100-101 in Journals
What are the 3 steps for solving table multiple choise questions?
1st: circle the third set of numbers
2nd: fill in the missing variables and solve
3rd: Check all sets of numbers
Pgs. 102-103
What type of relationship is a proportional relationship? Addative or Multiplicative?
Multiplicative
Pgs. 106-107 in Journals
A large cheese pizza cost $8. Which equation represents the cost, c, for p large pizzas?
A. c = p+8
B. c = 8-p
C. c = p/8
D. c = 8p
D. c = 8p
Pgs. 108-109 in Journal
In which quadrant is the ordered pair (-8.5,0) located?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
B. Quadrant II
Pgs. 98-99 in Journal
The dependent variable is always the ______ value/coordinate/
Y
Pg. 100-101 in Journals
What is the equation that represents the relationship between x and y values listed below>
X: 8, 12, 16, 24
Y: 2, 3, 4, 6
y = x/4 (y equals x divided by 4)
Pgs. 102-105 in Journal
List the four things that make a relationship proportional.
1. the graph must be a straight line
2. the graph must go through the origin (0,0)
3. The ratios must be equivalent
4. The relationship must be multiplicative
Pgs. 106-107 in Journals
Write an equation from the following statement:
Buying jeans at the clothing company costs y dollars. The amount is 40 times x, the number of pairs of jeans that are purchased.
y = 40x
Pgs. 108-109 in Journal
What is this ordered pair called?
(0,0)
Origin
Pgs. 98-99 in Journal
What is the definition of an independent variable?
a variable whose value determines the value of the output.
Pg. 100 in Journals
What equation would represent the relationship between x and y of these ordered pairs?
(x,y)
(1,2)
(2,4)
(3,6)
y=2x (y equals 2 times x)
Pgs. 102-105 in Journal
m = 2p is an example of a multiplicative relationships.
True or False
True
Pgs. 106-107 in Journals
A car rental company charges $75 a day to rent a vehicle. Write an equation to represent this situation.
y = 75x
(y=cost; x=days; 75=constant of proportionality).
Pgs. 108-109 in Journals
Which ordered pair is located along the x-axis?
A. (-3,-3)
B. (0,3)
C. (3,-3)
D. (3,0)
D. (3,0)
Pgs. 98-99 in Journal
What is the definition of a dependent variable?
a variable whose value depends on the value of the input.
Pg. 100 in Journals
Determine if the relationship is addative or multiplicative among the data sets below.
A. B.
X: 1, 2, 3, 4, X: 1, 2, 3, 4
Y: 5, 6, 7, 8 Y: 4, 8, 12, 16
A: additive relationship (y=x+4)
B. multiplicative relationship (y=4x)
Pgs. 102-107 in Journal
True or false, the following table shows an additive relationship.
X Y
1 3
2 6
3 9
False, it is multiplicative (y = 3x)
Pgs. 106-107 in Journals
Carlos is 4 years older than his sister, Mia. Write an equation that relates Carlos' age, c, to Mia's age, m.
c = m + 4
c=Carlos' age
m=Mia's age
4= age gap between Carlos and Mia
Pgs. 108-109 in Journals
Which point is located 8 units to the right of the origin and 6 units above the x axis?
A. (8,-6)
B. (8,6)
C. (-8,-6)
D. (-8, 6)
B. (8,6)
Pgs. 98-99 in Journal
The table below shows the amount of money Carlos gets for the hours he works. Which list shows the dependent quantities from the table?
Hours Worked Money Earned
5 $40
8 $64
10 $80
A. $40, $64, $80
B. 5, 8, 10
C. 8, 7, 5
D. $45, $68, $90
A. $40, $64, $80
Pgs. 100-101 in Journal
The table shows the relationship between the number of months a gym membership and the total cost. Write an equation relates months, m, and dollars, d?
Months Dollars
2 5
5 55
12 62
15 65
d = m+50
Pgs. 104-109 in Journals
Identify if this is additive or multiplicative and write the equation to show the relationship between x and y.
Ted joins a local gym for $20 and then pays $10 every month after.
Multiplicative. y = 10x + 20
(y = cost; x = months)
Pgs. 106-107 in Journals
A cupcake costs $3.50 at the local bakery. Write an equation that represents the cost, c, for m muffins.
c = 3.50m
c=cost
m=Muffins
3.50=K (constant of proportionality)
Pgs. 108-109