Rate of Change & Initial Value

Front

What is the rate of change in a situation where Tim pays $50 per month for a phone after an initial payment?

Back

The rate of change is $50 per month.

Front

What is the initial value in a situation where Tim pays $125 on the day of purchase for a phone?

Back

The initial value is $125.

Front

In the equation y=8x+6, what is the rate of change?

Back

The rate of change is 8.

Front

In the equation y=8x+6, what is the initial value?

Back

The initial value is 6.

Front

What is the initial value in a table where the first value is 6?

Back

The initial value is 6.

Front

Define 'rate of change' in mathematical terms.

Back

Rate of change refers to how much a quantity changes in relation to another quantity.

Front

What does 'initial value' mean in a mathematical context?

Back

Initial value is the starting point or the value of a function when the independent variable is zero.

Front

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

Back

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

Front

How do you identify the initial value from a linear equation?

Back

The initial value is found by evaluating the equation when the independent variable (x) is zero.

Front

What is the significance of the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.