Rate of Change and Initial Value (Equations & Word Problems)

Front

Back

The rate of change is -14.

Front

What is the initial value in Mr. Z's car club with a $30 start up fee and $5 monthly fee?

Back

The initial value is $30 start up fee.

Front

Back

The initial value is -5.

Front

What is the rate of change in Mr. Z's car club with a $30 start up fee and $5 monthly fee?

Back

The rate of change is $5 per month.

Front

What is the initial value when Tim bought a phone for $125 and pays $50 per month?

Back

The initial value is $125.

Front

Define 'rate of change' in a mathematical context.

Back

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

Front

What does 'initial value' mean in a function?

Back

The initial value is the starting point of a function, often represented as the y-intercept in a linear equation.

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Back

In this equation, 'b' represents the initial value or y-intercept.

Front

If a function has a rate of change of 3, what does this imply?

Back

This implies that for every unit increase in the independent variable, the dependent variable increases by 3 units.

Front

How do you identify the initial value from a word problem?

Back

Look for the starting amount or fee before any changes occur, often mentioned as a one-time cost.