EOC Review Day 4 (2024)

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In the equation y = mx + b, m is the slope.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0. It represents the starting point of the line on the y-axis.

Front

How do you calculate the average rate of change of a function between two points?

Back

The average rate of change is calculated by the formula: (f(b) - f(a)) / (b - a), where a and b are the two points.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for the cost of a pizza with n toppings if the base cost is $12 and each topping costs $1.50?

Back

C(n) = 12 + 1.5(n - 1) or C(n) = 1.5n + 12.

Front

What is the significance of the base fee in a service charge model?

Back

The base fee is a fixed charge that is added to the variable cost based on the service duration or quantity. It represents the minimum cost of the service.

Front

How do you interpret the coefficients in a linear equation?

Back

Coefficients represent the amount of change in the dependent variable for a one-unit change in the independent variable.

Front

What is the relationship between the slope and the rate of change in a real-world context?

Back

In real-world contexts, the slope indicates how much one quantity changes in relation to another, such as cost per hour of service.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.