constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.

Front

How do you calculate the distance traveled at a constant speed?

Back

Distance can be calculated using the formula: Distance = Speed × Time.

Front

If Ernie travels 195 miles in 3 hours, what is his speed?

Back

Speed = Distance / Time = 195 miles / 3 hours = 65 miles per hour.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 6 hours, the unit rate is 120 / 6 = 20 customers per hour.

Front

What is the formula for calculating the rate of change?

Back

Rate of change = (Change in quantity) / (Change in time).

Front

What does the slope of a line represent in a graph of a linear relationship?

Back

The slope represents the rate of change between the two variables plotted on the graph.

Front

How can you express a linear relationship as an equation?

Back

A linear relationship can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship on a graph.

Front

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

Back

The constant rate of change is 20 customers per hour.