Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a graph.

Front

Define the equation of a line in slope-intercept form.

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

Write the equation for a situation where a person takes 2 pictures initially and 1 picture each day.

Back

Front

If a line has a slope of -3, what does this indicate about the relationship between x and y?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

If Ryan's Auto Wash earns $9 per customer, what is the equation relating customers (x) to revenue (y)?

Back

Front

What is the rate of change if the revenue increases from $9 to $45 as the number of customers increases from 1 to 5?

Back

Front

How do you interpret a positive slope in a graph?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

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; it represents the starting point of the line on the y-axis.