standard_description: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
problem_activity: The square below has an area of
$${20}$$
square units.
[IMG]
Taylor writes the equation
$$s^2={20}$$
to find the measure of the side length of the square. She reasons that the solution to the equation is
$$\sqrt{20}$$
and concludes that the side length of the square is
$${10}$$
units.
Do you agree with Taylor? Explain why or why not. If you disagree, include the correct side length of the square.


aligns: no