Writing Linear Equations from Word Problems

Front

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

Back

The slope of the line.

Front

What is the equation for a rental situation where there is a $15 deposit fee plus $2 for each hour of use?

Back

y = 2x + 15

Front

How do you model a plumbing service that charges $25 per hour plus a $40 service fee?

Back

y = 25x + 40

Front

If Connor sells 15 cups of lemonade and sells 5 more cups per hour, what is the equation representing this situation?

Back

y = 5x + 15

Front

What is the equation for the total cost of a holiday meal that costs $12.50 per person plus a $30 delivery fee?

Back

y = 30 + 12.50x

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept of the line.

Front

How do you determine the slope from a word problem?

Back

Identify the rate of change or the cost per unit.

Front

What is the first step in writing a linear equation from a word problem?

Back

Identify the variables and what they represent.

Front

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

Back

The independent variable, often the input or quantity.