5.8 Writing Equations From A Table & Real-World Situations

Front

What is a function in mathematics?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How do you write an equation from a table of values?

Back

Identify the relationship between the input (x) and output (y) values, then express it in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

How can you determine the cost from a real-world situation?

Back

Identify fixed costs (constant) and variable costs (dependent on quantity), then create an equation to represent total cost.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

If Bonnie pays a monthly fee and an additional cost per class, how do you express her total cost?

Back

T = fixed fee + (cost per class * number of classes), e.g., T = 80 + 9y.

Front

How do you find the total earnings of a deliveryman based on deliveries made?

Back

Total earnings = fixed daily cost + (cost per delivery * number of deliveries), e.g., d = 10x + 40.

Front

What is the relationship between variables in a table?

Back

The relationship can often be expressed as a function or equation that describes how one variable depends on another.

Front

How do you identify the correct equation from multiple choices?

Back

Analyze the given data or situation, determine the fixed and variable components, and match them to the correct equation.