Writing Equations for Real-World Scenarios

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 with respect to the independent variable. It indicates how much the dependent variable changes for a one-unit increase in the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero. It is the point where the line crosses the y-axis.

Front

How do you write an equation for a real-world scenario involving a fixed cost?

Back

Identify the fixed cost and add it to the variable cost multiplied by the number of units. The equation will be in the form: Total Cost = Fixed Cost + (Variable Cost per Unit * Number of Units).

Front

Write an equation for: A gym charges a $50 membership fee plus $20 per month.

Back

C = 50 + 20m

Front

Write an equation for: The temperature of a liquid decreases by 4°F per minute. If the initial temperature is 80°F.

Back

D = 80 - 4t

Front

Write an equation for: A person earns $15 per hour and receives a $50 bonus at the end of each week.

Back

E = 15h + 50

Front

Write an equation for: A taxi company charges $3 as a base fare and $1.50 per mile.

Back

F = 3 + 1.5m

Front

Write an equation for: A company produces notebooks, and the total cost of production includes a fixed cost of $200 plus $5 per notebook.

Back

C = 200 + 5n

Front

What is a variable in an equation?

Back

A variable is a symbol used to represent an unknown value in an equation. It can change or vary.