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, often represented as 'b'. It is the value of 'y' when 'x' is 0.

Front

What does the rate of change represent in a linear equation?

Back

The rate of change represents how much 'y' changes for a unit change in 'x'. It is the slope of the line, often represented as 'm'.

Front

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

Back

'm' represents the rate of change or slope of the line.

Front

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

Back

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

Front

What is the rate of change in the equation y = 5x + 3?

Back

The rate of change is 5.

Front

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

Back

The initial value is $0.55.

Front

Write the equation for a gym membership that has a $35 sign-up fee and $12 monthly fee.

Back

y = 12x + 35, where 'y' is the total cost after 'x' months.

Front

What is the rate of change for the cost of ice cream cones if each scoop costs $0.60?

Back

The rate of change is $0.60 per scoop.

Front

What is NOT the initial value in a linear equation?

Back

'm' (the slope) is NOT the initial value.

Front

If a car rental costs $20 per day plus a $50 initial fee, what is the initial value?

Back

The initial value is $50.