Writing Linear Relationships from Word Problems

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, typically expressed in the form y = mx + b.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Front

If a man is descending 30 feet per minute from a height of 100 feet, what is the equation representing his height over time?

Back

y = 100 - 30x.

Front

What is the equation for Juanita's monthly cell phone bill if she uses x minutes of airtime?

Back

C = 0.20x + 15.

Front

How do you determine the total cost of a holiday meal for x people if it costs $12.50 per person plus a $30 delivery fee?

Back

y = 30 + 12.50x.

Front

If Scott's Automotive charges $35 for each car plus $7 per hour, what is the equation if Kylie was charged $63?

Back

7x + 35 = 63.

Front

What is the slope in the context of a linear relationship?

Back

The slope indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.