Linear Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the total cost in a linear cost problem?

Back

To determine the total cost, you can use the equation C = fixed fee + (variable fee per unit * number of units).

Front

What does the slope represent in a linear equation related to real-world problems?

Back

The slope represents the rate of change or the amount of change in the dependent variable for each unit change in the independent variable.

Front

In the context of a linear word problem, what does the y-intercept represent?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

How can you find the number of months until a certain total cost is reached in a linear cost problem?

Back

Set the total cost equation equal to the desired total cost and solve for the variable representing time (e.g., months).

Front

What is the equation for a linear relationship where a quantity increases by a constant amount each month?

Back

The equation is y = mx + b, where m is the constant increase per month and b is the initial quantity.

Front

How do you write an equation for a situation involving a fixed fee and a variable fee?

Back

The equation is written as y = fixed fee + (variable fee per unit * number of units).

Front

What is the significance of the initial value in a savings problem?

Back

The initial value represents the starting amount before any additional contributions are made.

Front

How do you interpret the coefficients in a linear equation from a word problem?

Back

The coefficients represent the rate of change (slope) and the initial value (y-intercept) in the context of the problem.

Front

What is the formula to calculate the total charges for a rental service based on time?

Back

The formula is y = rental fee + (hourly rate * number of hours).