Constant Rate of Change/ Constant of Proportionality

Front

What is the constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another quantity, represented by the slope of a line in a graph.

Front

Define constant of proportionality.

Back

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

Front

If a car travels at a constant speed of 60 miles per hour, what is the distance traveled in 4 hours?

Back

240 miles (Distance = Speed × Time = 60 miles/hour × 4 hours).

Front

What does a linear relationship look like on a graph?

Back

A linear relationship appears as a straight line on a graph, indicating a constant rate of change.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the output value (y) by the input value (x) for any pair of corresponding values in the table.

Front

What is the formula for calculating unit price?

Back

Unit Price = Total Price / Quantity.

Front

If 5 pounds of apples cost $10, what is the price per pound?

Back

$2 per pound (Unit Price = $10 / 5 pounds).

Front

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

Back

The relationship is expressed by the formula: Distance = Rate × Time.

Front

If a recipe requires 2 cups of sugar to make 24 cookies, what is the constant of proportionality?

Back

12 (Constant of proportionality = Number of cookies / Cups of sugar = 24 / 2).

Front

What does it mean if a graph has a steeper slope?

Back

A steeper slope indicates a greater rate of change between the two variables represented on the graph.