Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount of change in one quantity for every unit of change in another quantity, often represented as a linear relationship.

Front

How can you identify a constant rate of change from a graph?

Back

A constant rate of change can be identified from a graph as a straight line, where the slope represents the rate of change.

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change between the two variables in the equation.

Front

If Taylor writes 25 words per minute, how many words will he write in 3 minutes?

Back

75 words (25 words/minute * 3 minutes = 75 words).

Front

What is the equation for a line with a slope of 19.25?

Back

y = 19.25x, where y is the total and x is the number of units.

Front

What does it mean if a table shows a constant rate of change?

Back

It means that for every increase in one variable, there is a consistent increase in the other variable.

Front

If a dolphin travels at 25 kilometers per hour, how far will it travel in 4 hours?

Back

100 kilometers (25 km/hour * 4 hours = 100 kilometers).

Front

What is the formula to calculate the total cost based on a constant rate of change?

Back

Total Cost = Rate * Number of Units.

Front

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

Back

Subtract the values of one variable from the other and divide by the change in the independent variable.

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.