Tables
Graphs
Equations
Proportional or not?
Word Problems
100
4 liters
132 km
100
Which line(s) are proportional? If proportional, identify the constant(s) of proportionality and the equation(s).
Only Morgan's line is proportional.
Bob's line is straight through but doesn't pass through the origin. Renee's line passes through the origin but doesn't have one straight line.
Morgan's k=1 using point (2,2)
y=1x or y=x
100
what is the constant of proportionality in the following equation?
y=5x
k=5
100
Is y = 8x + 2 proportional?
no
100
An 8-oz can of orange juice contains about 97 mg of vitamin C. About how many milligrams of vitamins C are there in a 12- oz can of orange juice?
145.5 mg
200
Proportional or not proportional? Name 2 ways you can prove it.
1) doesn't go through the origin (0, 0)
2) the k isn't constant
this is unit price, so $/tickets or y/x
24/2 = 12
28/4 = 7
32/6 = 5 1/3
36/8 = 4.5
200
Find the constant of proportionality, then explain what it represents in this situation.
k = 6 meals prepped per day
200
Write an equation that represents the graph. Leave the constant of proportionality as a SIMPLIFIED fraction.
What does the constant of proportionality represent?
y=2/3x
k = 2/3 lap in 1 minute
200
June has $120.00 in her checking account, and she deposits $50.00 in it each week. Is the relationship proportional? Explain why.
The unit rates are not constant.
The graph would not start at 0.
or
The equation would not be in the form y=kx.
200
Jake is selling boxes of candy bars to raise money for his baseball team. He makes $6 for each box of candy bars he sells.
a) Write an equation to represent the situation.
b) How much would Jake make if he sold 17 boxes?
y = 6x
He would make $102 if he sold 17 boxes.
300
What equation represents the table below? What does the constant of proportionality mean in the context of this problem?
lb of Bananas Cost
2 $2.50
4 $5.00
6 $7.50
y = 1.25x
k = $1.25 per 1lb. of bananas
300
What is the coordinate point of the constant of proportionality? Give it in coordinate point form, and as a fraction.
(1, 1/6)
300
Becca completes 42 math problems in 12 minutes. Write an equation to represent how many problems she can do per minute.
y=3.5x
300
Is this graph proportional?
Yes
300
George and Lucy rode the bus and it cost them $11.78 altogether.
a) Write an equation to represent this situation. Identify which variable is x and which is y.
b) Based on this, how much would it cost for 5 people to ride the bus?
y = 5.89x
x is money in dollars and y is people.
It would cost $29.45 for 5 people to ride the bus.
400
Complete the ratio table, and then identify the equation that represents it. Use a fraction for the k.
x y
? is 171
y=19/17x
400
Identify two points on this line and the constant of proportionality in the context of the scenario.
(0,0) doesn't count as a point
(5,2) (10,4) (15,6)
k = 0.4 miles in 1 minute
400
Identify the equation that represents the graph.
y=1/6x
400
Proportional or not, and why?
At the drive-in movies, it costs $5 per person and $4 flat fee for the vehicle.
Not Proportional
400
$3.75 for 3 roses or
14 tulips cost $16.10
Which is the better buy?
Tulips. $1.15 per tulip compared to $1.25 per rose
500
Who walks faster?
Addie's faster.
500
What are the equations that represent lines A and B?
Line A: y = 0.56x
Line B: y = 1.25x
500
Write an equation to represent the graph. Use that equation to determine. How much would you make after working 40 hrs?
y=45x
$1800
500
a) How can you tell if a graph is proportional?
b) How do you identify the k in the graph?
c) Write an example of an proportional equation.
a)Linear and begins at the origin (0, 0)
b)By finding the point y/x; when x is 1.
c)y = 6x
500
It costs $11.25 for 0.75 liters of laundry detergent. Find the unit rate.
$15.00