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Questions and Answers
What will the quotient of the coordinates be in the equation that represents the same proportional relationship as the graph?
What will the quotient of the coordinates be in the equation that represents the same proportional relationship as the graph?
A coefficient in the equation
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = 2x
What equation represents a proportional relationship with a constant of proportionality equal to 7/10?
What equation represents a proportional relationship with a constant of proportionality equal to 7/10?
y/x = 7/10
What is true about the proportional relationship modeled by Peter's equation y = 13/4x?
What is true about the proportional relationship modeled by Peter's equation y = 13/4x?
Which equation represents the relation shown in the graph?
Which equation represents the relation shown in the graph?
What error is Roni making in her equation y = x + 7/25?
What error is Roni making in her equation y = x + 7/25?
If y represents the cost of x ounces of blueberries, which equation models the proportional relationship for 8-ounce containers costing $4.00?
If y represents the cost of x ounces of blueberries, which equation models the proportional relationship for 8-ounce containers costing $4.00?
Where did Joylin make her first error in finding the equation for videos downloaded?
Where did Joylin make her first error in finding the equation for videos downloaded?
Which equation best models Harry's soccer team's relationship between nonconference and conference games?
Which equation best models Harry's soccer team's relationship between nonconference and conference games?
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Study Notes
Equations of Proportional Relationships
- An equation representing a proportional relationship can be formed by using the quotient of coordinates as a coefficient.
- For a constant of proportionality equal to 2, the equation is expressed as y = 2x.
- The proportional relationship characterized by y/x = 7/10 indicates that the constant of proportionality is 7/10.
- Peter's equation, y = 13/4x, signifies that he walks at a speed of 13/4 miles per hour.
- A graph showing the relation can be modeled with the equation y = 7/2x.
- Roni incorrectly wrote the equation as y = x + 7/25; it should have been y = 7/25x to maintain a constant quotient between x and y.
- A fruit stand charges $4.00 for 8 ounces of blueberries, leading to the equation y = 0.5x, expressing the cost per ounce.
- Joylin's first error in modeling the cost of downloading videos was switching the numerator and denominator while calculating the constant of proportionality, k.
- Harry's soccer team has a ratio of 2 nonconference games for every 3 conference games, modeled by the equation y = 2/3x.
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