Rate of Change

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in one quantity to the change in another quantity, often represented as a slope.

Front

What is the rate of change if a car travels 60 miles in 2 hours?

Back

30 miles per hour.

Front

What type of slope indicates a decrease in value?

Back

Negative slope.

Front

What is the rate of change in profit if you earn $50 for 5 hours of work?

Back

$10 per hour.

Front

What is the slope formula?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If the rate of change is -2 gallons per minute, what does this indicate?

Back

It indicates that the quantity is decreasing at a rate of 2 gallons for every minute.

Front

What does a zero slope represent?

Back

A zero slope represents a constant value, meaning there is no change in the y-value as the x-value changes.

Front

How do you calculate the rate of change from a table of values?

Back

Subtract the initial value from the final value and divide by the time or interval.

Front

If a line has a positive slope, what does this indicate about the relationship between the variables?

Back

It indicates that as one variable increases, the other variable also increases.

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent rates such as speed, cost per item, or growth rates.