Linear Equations Word Problems- Asynchronous Practice

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written 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). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you write an equation for a situation with a fixed cost and a variable cost?

Back

The equation can be written as y = mx + b, where m is the variable cost per unit, x is the number of units, and b is the fixed cost.

Front

If a service charges a monthly fee and a per-use fee, how do you model the total cost?

Back

The total cost can be modeled by the equation c = pm + f, where c is the total cost, p is the per-use fee, m is the number of uses, and f is the fixed monthly fee.

Front

What is the equation for a gym membership with a registration fee and a monthly fee?

Back

The equation is y = mx + b, where m is the monthly fee, x is the number of months, and b is the registration fee.

Front

How do you interpret the y-intercept in a cost equation?

Back

The y-intercept represents the initial cost before any variable costs are added.

Front

What is the formula to find the total cost after a certain number of months?

Back

The formula is total cost = fixed cost + (variable cost per month * number of months).

Front

How do you determine the total cost for a service that charges per minute?

Back

The total cost can be calculated using the equation c = rate * minutes + fixed fee.

Front

What does it mean if the slope of a cost equation is steep?

Back

A steep slope indicates a high variable cost per unit, meaning costs increase rapidly with each additional unit.