Miscellaneous
If x=12 and y=51, what is the COP?
4.25
A proportional relationship has a constant of proportionality of 4. Write an equation that represents the relationship
y=4x
A proportional relationship has x=8 and y=34
k=4.25
Johensky buys 3 slices of pizza for $9. If each slice costs the same amount, how much does 1 slice cost?
$3 dollars per slice
3 ways to tell a line on the graph is proportional ?
goes through origin 0,0
Same Cop
Straight line
A table has (2, 9), (4, 18), and (7, 31.5). What is the COP?
4.5
A proportional relationship has a constant of proportionality of 7.5. Write an equation to represent the relationship.
y=7.5x
A table shows x=3 and y=21.
Answer: 7
A machine fills 4 water bottles in 2 minutes at a constant rate. How many bottles can it fill in 9 minutes?
18 bottles
What do we call a relationship between two quantities where one quantity is always multiplied by the same number to get the other?
Proportional relationship
Eight movie tickets cost $94. Find the cost of 14 tickets at the same rate
$164.50
Rachelle earns $12 for every hour of babysitting. Let (x) represent the number of hours and (y) represent the total money earned. Write an equation
y=12x
Is the relationship proportional? If yes, find the COP. Must explain. Must Explain How you know
x y
3 10.5
6 21
9 31.5
12 40
No. The last row has a different ratio.
A car travels 156 miles using 6 gallons of gas. At the same rate, how many miles can the car travel using 11 gallons?
286 miles
When the COP is bigger the line is
Steeper
A school orders 8 basketballs for $120. If the cost is proportional to the number of basketballs, how much would 15 basketballs cost?
$225
-First, find the cost of one basketball:
120/8= 15
15 x 15=225.
A proportional relationship contains the point (8, 52). Write an equation that represents the relationship.
y=6.5x
The table represents a proportional relationship between x and y.What is the constant of proportionality, and what would the value of y be when x=20
x y
5 35
8 56
11 77
14 98
k=7 when x=20, y=140
welding orders 8 basketballs for $144. If the cost per basketball stays the same, how much will the school pay for 13 basketballs?
$234
What word describes a value that stays the same throughout a proportional relationship?
Constant
Mr.Wallace says the equation y=4.5x represents a proportional relationship. Mr.Eghan claims that when x=8,y=36, but when x=12, y=56. Who is correct, and how do you know?
Mr. Wallace is correct about the equation, but the Mr. Eghan values are inconsistent. Both ratios must be equal for the relationship to be proportional
A proportional relationship passes through the point (12, 84). Write an equation to represent the relationship, then determine the value of (y) when (x=25).
Equation:(y=7x).
When x=25 then y=175
A proportional relationship has x=8 and y=56. Find the constant of proportionality, write the equation that represents the relationship, and determine the value of y when x=15.
k=7
equation:y=7x
when x=15, y=105.
Leanna's famous recipe uses 6 cups of flour to make 24 muffins. Jeanelle wants to make 100 muffins using the same recipe. How many cups of flour are needed?
25 cups of flour
What do we call the horizontal and vertical lines on a graph that are used to locate points?
Axes