Multiple Representations Card Sort

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

Which equation identifies the relationship in the table?

Back

The equation that identifies the relationship in the table is y = -2x + 5.

Front

If each ticket to a basketball game costs $74.50 and the bus shuttle costs $15 per family, what equation determines the total cost t for n tickets?

Back

The equation is t = 74.50n + 15.

Front

Which linear equation best represents a graph with a negative slope?

Back

The equation is y = -2x + 10.

Front

What does the equation y = 7.5x - 3 represent in a real-world context?

Back

It represents Benji's profit from selling paintings after spending $3 on art supplies.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope in the equation y = 3x + 2?

Back

The slope is 3, which indicates the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, expressed as y = kx.