Understanding Proportional Relationships and Slope

What is the defining characteristic that distinguishes a proportional relationship from a general linear relationship?

• Its graph is a straight line.

• It has a constant slope.

• Its graph passes through the origin.

• It can be represented by an equation.

What is the constant ratio in a proportional relationship also known as?

• The slope

• The unit rate

• The y-intercept

• The x-intercept

If the cost (y) to purchase x bagels is $2 per bagel, what is the constant of proportionality (k)?

• k = 0.5

• k = 1

• k = 2

• k = 4

What does a solution of a linear equation represent?

• A single value for one variable.

• An ordered pair (x, y) that lies on the line.

• The graph of the line itself.

• The total number of points on the line.

For the equation y = 2x, what is the value of y when x is 50?

• 25

• 50

• 100

• 200

In a proportional linear relationship, how is the constant of proportionality (k) determined from an ordered pair (x, y) on the line (excluding the origin)?

• k = x / y

• k = y / x

• k = x + y

• k = x - y

What is the slope of the line shown in the first graph, where x increases by 1 and y increases by 2?

• 1

• 2

• 1/2

• -2

What is the slope of the line in the "Bagel Bakery" graph?

• 3

• 1/3

• -3

• -1/3

The cost y in dollars of purchasing x computer stickers is represented by the equation y = 4x. What does the slope of this equation represent?

• The total cost of all stickers.

• The number of stickers purchased.

• The cost per sticker.

• The initial cost before purchasing any stickers.

Movie A's sales are represented by the equation y = 1.8x, where y is total sales in millions of dollars and x is the number of days released. Movie B's sales are represented by a graph, showing sales of $7 million after 4 days. Which movie had a greater daily sales rate?

• Movie A, with a daily sales rate of $1.8 million.

• Movie B, with a daily sales rate of $1.75 million.

• Movie A, with a daily sales rate of $1.75 million.

• Movie B, with a daily sales rate of $1.8 million.