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.
Not Proportional
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
200
June has $120.00 in her checking account, and she deposits $50.00 in it each week. Is the relationship proportional?
No
The unit rates are not constant. The graph would not start at 0. The equation would not be in y = __x form.
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?
x (pounds of bananas) 0 1 2 3 4 5
y (dollars) 0 1.25 2.50 3.75 5.00 6.25
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 48 math problems in 12 minutes. Write an equation to represent how many math problems she completes per minute.
y=4x
300
Is this graph proportional? Why or why not?
Yes.
Passes through (0,0) and is a straight line.
300
George and Lucy rode the bus and it cost them $14.00 altogether.
a) Write an equation to represent the cost for x amount of people to ride the bus.
b) Based on this, how much would it cost for 5 people to ride the bus?
y = 7.00x
It would cost $35.00 for 5 people to ride the bus.
400
Complete the ratio table, and then identify the equation that represents it.
x y
1 ?
2 6
3 9
? is 3
y=3x
400
Identify the constant of proportionality.
k = 0.4
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.
It can be represented by the equation y=5x+4.
400
$3.75 for 3 roses or
$16.10 for 14 tulips
Which is the better buy?
Tulips. $1.15 per tulip compared to $1.25 per rose
500
Who walks faster? By how much?
Addie
x (hours) 0 2 4 6 8 10
y (miles) 0 6 12 18 24 30
Jake
x (hours) 0 1 2 3 4 5
y (miles) 0 4 8 12 16 20
Jake's faster by 1 mile per hour.
500
What is the equation that represents line B?
Line B: y = 1.25x
500
Write an equation to represent the graph.
y=45x
500
Is the table proportional? Why or why not?
x 0 1 2 3 4 5
y 1 2 3 4 5 6
Not proportional.
y/x not constant.
Does not have (0,0)
500
It costs $11.25 for 0.75 liters of laundry detergent. Find the unit rate.
$15.00 per liter of laundry detergent.