Rate of Change and Initial Value (Verbal/Equations)

Front

What is the initial value in a linear equation?

Back

The initial value is the y-intercept of the equation, representing the starting point of the function when x = 0.

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, which indicates the rate of change.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the initial value or y-intercept of the line.

Front

If a gym charges a $35 membership fee and $5 per month, what is the initial value?

Back

The initial value is $35.

Front

If a phone costs $125 upfront and $50 per month, what is the initial value?

Back

The initial value is $125.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the rate of change in a graph?

Back

The rate of change is the slope of the graph, showing how one quantity changes in relation to another.

Front

If a box of chicken costs $0.55 plus $0.40 per piece, what is the initial value?

Back

The initial value is $0.55.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.