Initial Value and Rate of Change Flashcard

Front

What is the initial value in a payment situation?

Back

The initial value is the amount paid at the beginning of a transaction, before any additional payments are made.

Front

In the equation y=8x+6, what does the number 6 represent?

Back

The number 6 represents the initial value (y-intercept) of the function.

Front

What is the rate of change in a payment situation?

Back

The rate of change is the amount paid or charged per unit of time, often represented as a constant slope in a linear function.

Front

How do you find the rate of change in a linear equation?

Back

The rate of change is found by determining the slope of the line, which is the change in y divided by the change in x.

Front

What is the initial value of the function f(x) = 3x + 4?

Back

The initial value is 4.

Front

If Tim pays $50 per month for a phone, what is the rate of change?

Back

The rate of change is $50 per month.

Front

What does a non-linear function indicate about the rate of change?

Back

A non-linear function indicates that the rate of change is not constant and varies at different points.

Front

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

Back

b represents the initial value or y-intercept of the function.

Front

What is the initial value in the equation y = -2x + 5?

Back

The initial value is 5.

Front

How do you determine the initial value from a graph?

Back

The initial value can be determined by finding the point where the line crosses the y-axis.