Rate of Change and Initial Value

Front

What is the definition of rate of change?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

How do you calculate the rate of change from a graph?

Back

To calculate the rate of change from a graph, identify two points on the line, find the difference in the y-values (rise) and the difference in the x-values (run), and divide the rise by the run.

Front

What is the initial value in a linear equation?

Back

The initial value in a linear equation is the value of the dependent variable when the independent variable is zero, often represented as the y-intercept.

Front

What is another term for the initial value in a graph?

Back

Another term for the initial value in a graph is the y-intercept.

Front

In the context of a phone payment plan, what does the initial value represent?

Back

In the context of a phone payment plan, the initial value represents the upfront cost paid at the time of purchase.

Front

If a person earns $10 per hour, what is the rate of change in their earnings?

Back

The rate of change in their earnings is $10 per hour.

Front

What does a rate of change of 1 indicate in a graph?

Back

A rate of change of 1 indicates that for every unit increase in the x-value, the y-value increases by 1 unit.

Front

How can you identify the initial value from a table of values?

Back

The initial value can be identified as the value of the dependent variable when the independent variable is at its starting point, often when the independent variable is zero.

Front

What is the significance of the y-intercept in a real-world scenario?

Back

The y-intercept represents the starting point of a situation, such as the initial cost or value before any changes occur.

Front

How does the concept of rate of change apply to real-life situations?

Back

The concept of rate of change applies to real-life situations by helping to understand how quantities vary over time, such as speed, cost, or growth rates.