Rate of Change

Front

What is the definition of 'Rate of Change'?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the rate of change or slope of the line.

Front

If a car club charges a $30 join up fee and a $5 monthly fee, what is the rate of change in terms of monthly fees?

Back

$5 per month.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the quantity is decreasing over time.

Front

If a car consumes fuel at a rate of -2 gallons per minute, what does this mean?

Back

It means the car is using fuel at a rate of 2 gallons for every minute.

Front

How do you calculate the rate of change from a graph?

Back

The rate of change can be calculated by finding the slope of the line, which is the change in y divided by the change in x (rise/run).

Front

What is the rate of change if a ticket price increases from $2 to $3?

Back

The rate of change is $1 per ticket.

Front

If a line has a slope of 20, what is the rate of change?

Back

The rate of change is $20 per unit increase in x.

Front

What is the rate of change if a quantity decreases from 10 to 5 over 5 time units?

Back

The rate of change is -1 unit per time unit.

Front

In a linear equation, what does a slope of 0 indicate?

Back

A slope of 0 indicates that there is no change in y as x changes; the line is horizontal.