Constant Rate of Change/ Constant of Proportionality

Front

What is the definition of 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

What is the formula for Constant of Proportionality?

Back

y = kx, where k is the constant of proportionality.

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 4 hours?

Back

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

Front

What does the constant of proportionality represent in a graph?

Back

It represents the slope of the line, indicating how much y changes for a unit change in x.

Front

If 5 pounds of apples cost $10, what is the constant of proportionality?

Back

$2 per pound (Cost = $2 x Number of pounds).

Front

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

Back

Distance = Rate x Time.

Front

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

Back

Divide the total cost by the number of items to find the cost per item.

Front

What is an example of a real-life situation that demonstrates constant rate of change?

Back

A car traveling at a constant speed, where the distance traveled increases linearly over time.

Front

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

Back

12 cookies per cup of sugar (24 cookies / 2 cups = 12 cookies/cup).

Front

What is the equation that represents the relationship between total cost (y) and number of items (x) when each item costs $3?

Back

y = 3x.