Constant Rate of Change with Tables/Graphs/Equations

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes at a consistent rate over time, represented by a straight line on a graph.

Front

How do you find the slope of a line?

Back

The slope is found by dividing the change in the y-coordinate by the change in the x-coordinate (rise/run).

Front

What does a slope of 3/2 represent?

Back

A slope of 3/2 means that for every 2 units you move horizontally, the line rises 3 units vertically.

Front

What is the equation of a line with a slope of 3/2 that passes through the origin?

Back

The equation is y = (3/2)x.

Front

How do you interpret a graph that shows earnings over time?

Back

The slope of the graph indicates the rate of earnings per hour worked.

Front

If $100 is earned for each hour worked, what is the slope of the graph?

Back

The slope is 100, meaning $100 is earned for every hour.

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

Front

If Jimmy drove 390 miles in 6 hours, what was his speed?

Back

Speed = 390 miles / 6 hours = 65 miles per hour.

Front

What does the equation g = 2.4t represent?

Back

It represents a constant rate of change where g is the total amount and t is time.

Front

How can you tell if a relationship shows a constant rate of change?

Back

If the graph is a straight line, it shows a constant rate of change.