Unit 4 lesson 13 compare proportions from graphs and equations

Answer 1

In Unit 4 Lesson 13, you will learn how to compare proportions using both graphs and equations.

To compare proportions using graphs, you will be given two graphs that represent different proportions. You will need to analyze the slopes and intercepts of the lines to determine which proportion is greater or if they are equal.

The slope of a line represents the rate of change, or how steep the line is. A larger slope indicates a greater proportion, while a smaller slope indicates a smaller proportion.

The intercept of a line represents the starting point or value when the independent variable is zero. If one line has a higher intercept than another line, it means that it starts at a higher value and therefore represents a greater proportion.

To compare proportions using equations, you will be given two equations that represent different proportions. You will need to compare the coefficients of the independent variables and the constants in the equations.

The coefficient of an independent variable represents the proportionality between the independent and dependent variables. A larger coefficient indicates a greater proportion, while a smaller coefficient indicates a smaller proportion.

The constant in the equation represents a value that is added or subtracted from the dependent variable. If one equation has a higher constant than another equation, it means that it adds or subtracts a greater value and therefore represents a greater proportion.

By comparing the slopes, intercepts, coefficients, and constants of the graphs and equations, you will be able to determine which proportion is greater or if they are equal.

Overall, Unit 4 Lesson 13 focuses on developing your skills to compare proportions using both graphs and equations.