constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent ratio between two quantities, indicating how one quantity changes in relation to another. It is often represented as a slope in a linear equation.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the unit rate in dollars per pound if you spend $40 on 5 pounds of concrete?

Back

$8 per pound.

Front

Write the equation for a constant rate of change where y increases by 1 for every 4 units of x.

Back

y = 1/4x.

Front

What is the constant rate of change if a quantity increases by $5 for every hour?

Back

$5 per hour.

Front

If a store has 120 customers in 6 hours, what is the unit rate in customers per hour?

Back

20 customers per hour.

Front

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

Back

To find the rate of change, subtract the values of y and divide by the change in x. For example, if y changes from 2 to 4 as x changes from 1 to 3, the rate of change is (4-2)/(3-1) = 1.

Front

What does a slope of 2 indicate in a linear relationship?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units.

Front

What is the formula for calculating the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

The formula is (y2 - y1) / (x2 - x1).

Front

If the rate of change is not constant, what type of graph would you expect to see?

Back

You would expect to see a non-linear graph, which does not form a straight line.