constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals of time.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in quantity) / (Change in time) or (y2 - y1) / (x2 - x1).

Front

What does a linear relationship look like on a graph?

Back

A linear relationship appears as a straight line on a graph.

Front

If a car travels 60 miles in 1 hour, what is its rate of change?

Back

60 miles per hour.

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity.

Front

If a store sells 240 items in 12 hours, what is the unit rate of items sold per hour?

Back

20 items per hour.

Front

What is the formula for finding the slope of a line?

Back

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

Front

If a person walks 30 miles in 5 hours, what is their constant rate of change?

Back

6 miles per hour.

Front

What does it mean if the rate of change is not constant?

Back

It means the quantity changes by different amounts over equal intervals of time, indicating a non-linear relationship.

Front

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

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the relationship is linear.