Slope Intercept Form Applications

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) represents the value of y when x is 0, indicating the starting point of the line on the y-axis.

Front

In the equation y = 1.5x + 10, what is the slope and what is the y-intercept?

Back

The slope is 1.5 and the y-intercept is 10.

Front

If a fitness club charges a monthly fee and a per-class fee, how do you express the total cost?

Back

Total cost can be expressed as C = monthly fee + (per-class fee * number of classes).

Front

What is the significance of a flat fee in a cost equation?

Back

A flat fee is a constant amount that does not change regardless of the quantity consumed, representing the y-intercept in the cost equation.

Front

How do you determine which part of a cost equation is variable?

Back

The variable part of a cost equation is associated with the quantity that changes, such as the cost per game or per class.

Front

In the equation t = 30 + 12.5p, what do t and p represent?

Back

In this equation, t represents the total cost and p represents the number of people.

Front

What is an example of a real-world scenario that can be modeled with a linear equation?

Back

An example is calculating the total cost of a meal based on the number of people and a delivery fee.

Front

How can you identify the constant cost in a scenario involving multiple charges?

Back

The constant cost is the amount that remains the same regardless of the quantity, such as a monthly subscription fee.