FLASHCARD: LINEAR REVIEW

Front

What is a fixed cost in a taxi fare?

Back

A fixed cost is a set charge that does not change regardless of the distance travelled. In this case, it is $3.

Front

What does the slope of a line represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. In the equation y = -2x + 6, the slope is -2.

Front

How do you find the point where two linear functions are equal?

Back

Set the two equations equal to each other and solve for the variable. For example, Joe’s Canoes and Callie’s Canoes can be set equal to find the number of hours.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. In the equation y = 2/3x - 3, the y-intercept is -3.

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

Front

What does the term 'linear relationship' mean?

Back

A linear relationship means that there is a constant rate of change between two variables, represented by a straight line on a graph.

Front

How do you determine the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, the slope is the coefficient of x (m). For y = -2x + 6, the slope is -2.

Front

What is the significance of the slope in real-world applications?

Back

The slope indicates how much one quantity changes in relation to another, such as speed in a taxi fare or cost per hour in a rental.

Front

How can you represent a linear function graphically?

Back

A linear function can be represented as a straight line on a graph, where the x-axis represents the independent variable and the y-axis represents the dependent variable.

Front

What is the formula for calculating the total cost in a linear pricing model?

Back

Total Cost = Fixed Cost + (Cost per unit * Number of units). For example, in Joe’s Canoes, Total Cost = $20 + ($4 * hours).