Equations of Proportional Relationships Quiz

Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below. Where did Joylin make her first error?

Joylin switched the numerator and the denominator when she found k.

Peter uses the equation y= 13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter's equation?

Peter walks at a rate of 13/4 miles per hour.

Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to 7/25 . She writes the equation y= x + 7/25 . What error is Roni making?

She should have written y= 7/25x so that x and y have a constant quotient.

Rita is developing an equation that will represent the same proportional relationship as the graph.

The quotient of the coordinates will be a coefficient in the equation.

Which equation represents a proportional relationship that has a constant of proportionality equal to 2?

y = 2x

Which equation represents a proportional relationship that has a constant of proportionality equal to ?

y/x = 7/10

A fruit stand sells 8-ounce containers of blueberries for $4.00. If y represents the cost of x ounces of blueberries, which equation correctly models this proportional relationship?

y= 0.5x

Harry's soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. If y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship?

y= 2/3x

Which equation represents the relation that is shown in the graph?

y= 7/2x