7.rp1-3_Rerviewer

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It represents how much one quantity changes in relation to another.

Front

How do you interpret an ordered pair (x, y) in a graph?

Back

An ordered pair (x, y) represents a point on the graph where 'x' is the independent variable and 'y' is the dependent variable. It shows the relationship between the two variables.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation where 'k' is the constant of proportionality. It shows that 'y' varies directly with 'x'.

Front

If the cost of one pancake is $1.25, what is the cost of 'x' pancakes?

Back

The cost of 'x' pancakes is given by the equation y = 1.25x, where 'y' is the total cost.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a distance and time?

Back

To calculate the unit rate, divide the total distance by the total time. For example, if Ally bikes 4 5/8 miles in 3/8 of an hour, the unit rate is calculated as (4 5/8) / (3/8).

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph indicates the rate of change between the two variables. In a proportional relationship, the slope is equal to the constant of proportionality.

Front

If a graph shows that 4 t-shirts cost $60, what is the cost of one t-shirt?

Back

To find the cost of one t-shirt, divide the total cost by the number of t-shirts: $60 / 4 = $15 per t-shirt.

Front

What is the relationship between distance, rate, and time?

Back

The relationship can be expressed with the formula: Distance = Rate × Time.