73.1k views
4 votes
The student used the equation of the line y = -0.09x + 9.24 to model the data. What does the rate of change represent in terms of these data?

1 Answer

1 vote

Final answer:

The rate of change in the equation y = -0.09x + 9.24 represents the decrease in the dependent variable y by 0.09 for each unit increase in x. This slope indicates how the independent variable affects the dependent variable. The y-intercept of 9.24 indicates the value of y when x is zero.

Step-by-step explanation:

The rate of change in the equation of the line y = -0.09x + 9.24 represents how much the dependent variable y decreases for each one-unit increase in the independent variable x. In this specific equation, the coefficient of x, which is -0.09, is the slope and indicates that for every increase of 1 in x, the value of y decreases by 0.09. This slope is a key component of the equation's linear model and is crucial for understanding how changes in the independent variable affect the dependent variable.

The y-intercept of the equation, which is 9.24, indicates the value of y when x is zero. This is the point where the line crosses the y-axis on a graph. Both the slope and the y-intercept define the shape and position of the line on a coordinate plane. The slope is constant on a straight line, meaning that the rate of change is the same at every point along the line.

User Art Olshansky
by
7.6k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.