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WorksheetsEquations for Proportional Relationships
Total questions: 20
Worksheet time: 20mins
Write the equation that shows the relationship between ,h, the number of hours and t, the total dollar amount.
t = 9h
t = 91x
h = 9t
h = 91t
Write the equation that shows the relationship between the gallons, g, and t the time.
g = 1t
t = 1g
t = 5g
g = 5t
What equation should you use when writing an equation for a proportional relationship?
y = x + k
y = kx
x = yk
x = ky
Brooke earned $34 for 4 hours of work, h. Write an equation showing the relationship between hours, h, and t, the total amount earned.
h = 34t
t= 8.5h
h= 4t
t= 4h
Write an equation for this relationship.
y=1/5x
y=1/2x
y=2x
y=5x
Does this equation represent a proportional relationship?
Yes
No
Write an equation for this relationship.
y=1/5x
y=1/2x
y=2x
y=5x
Maria makes $15 an hour babysitting. What equation can be used to represent the amount of money she makes per hour?
y = x + 15
y = 15x
y = 15/x
y = 15 - x
Write the equation for this table.
K=9
y=9
y=9x
y=1/9
If the relationship in the table is proportional, write its equation.
y=9x
x=9y
y=18x
x=18y
The relationship is not proportional
Which equation shows a proportional relationship between x and y? (a)
y = 3x + 9
y = 1/2x
y = 1/2x - 2
y = x2
Pick the correct equation
If a school donates $20 for every student who donates $3. Write an equation representing this relationship.
y = 20/3x
y = 3/20x
y = 320x
y = 230x
If a school donates $10 for every student who donates $3. Write an equation representing this relationship.
y = 3/10x
y = 10/3x
y = 1/3x
y = 3x
Is this a proportional equation? Why?
It is not proportional because it doesn't have a constant.
It is not proportional because it doesn't have a constant rate of change.
It is proportional because if x = 0, y = 0.
It is proportional because it has a y intercept.
What is the equation?
y=4
y=1.5x
y=1.05
y=1.05x
If a school donates $5 for every student who donates $3. Write an equation representing this relationship.
y = 3/5x
y = 2.5x
y = 5/3x
y = 1.2x
Proportional or Not Proportional?
Proportional
Not Proportional
Two quantities are in a (a) if the two quantities vary and have a constant ratio between them.
proportional relationship
proportional
unit rate
nonproportional
constant of proportionality
Besian bought 6 ice cream cakes for $48 dollars. Write an equation that represents the total cost, y, of, x ,ice cream cakes.
6x= 48y
y= 8x
x= 6y
