Linear Word Problems

Front

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

Back

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

Front

How do you determine the total cost from a rental fee and an hourly charge?

Back

Add the fixed rental fee to the product of the hourly charge and the number of hours.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

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

Front

How can you model a situation with a fixed startup fee and a variable monthly fee?

Back

Use the equation y = mx + b, where m is the monthly fee and b is the startup fee.

Front

What is the significance of the negative slope in the equation y = -2x + 40?

Back

A negative slope indicates that the value of y decreases as x increases.

Front

How do you interpret the y-intercept in a real-world context?

Back

The y-intercept represents the initial value of the dependent variable before any changes occur.

Front

What is the equation for a situation where a person is descending at a constant rate?

Back

y = -mx + b, where m is the rate of descent and b is the initial height.

Front

How do you find the remaining balance after a series of expenses?

Back

Subtract the total expenses from the initial balance.

Front

What is the formula to calculate total cost when given a per-person charge and a delivery fee?

Back

y = (per-person charge * number of people) + delivery fee.