Finding Constant

Front

What makes a graph proportional?

Back

A proportional graph is represented by a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'.

Front

What is the initial value in a situation where a payment is made upfront followed by monthly payments?

Back

The initial value is the amount paid at the time of purchase, before any additional payments.

Front

How do you find the constant rate of change from a graph?

Back

The constant rate of change can be found by determining the slope of the line on the graph.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a graph shows a relationship between two variables, what does a straight line indicate?

Back

A straight line indicates a constant rate of change between the two variables.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that there is an initial value or fixed cost involved.

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the relationship between y and x.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is an example of a constant rate of change in real life?

Back

An example is a car traveling at a constant speed, such as 60 miles per hour.