11/22 Unit 4 Lesson 17 Flashcard

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of how steep the line is, representing the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run.

Front

How do you determine which linear function has the greatest slope?

Back

To determine which linear function has the greatest slope, compare the coefficients of x in the equations of the functions. The function with the largest coefficient has the greatest slope.

Front

What is the equation to calculate total cost when buying multiple items with a fixed fee?

Back

Front

If Nicholas pays $9.50 for each shirt and a one-time fee of $22.50, what is the equation for total cost?

Back

Front

What is an initial value in the context of a linear function?

Back

The initial value is the value of the dependent variable (y) when the independent variable (x) is zero. It represents the starting point of the function.

Front

How do you compare initial values of two linear functions?

Back

To compare initial values, evaluate the functions at x = 0 and compare the resulting y-values.

Front

Back

This equation represents the total amount Zane has paid (t) after m months, starting with an initial payment of $23 and adding $45 for each additional month.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

How can you identify a linear function from a set of data points?

Back

A linear function can be identified if the data points form a straight line when plotted on a graph.

Front

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

Back