4.15 Writing Equations from Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you write an equation from a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up the equation based on the relationships described.

Front

What does 'flat fee' mean in a word problem?

Back

A flat fee is a fixed charge that does not change regardless of the amount of service provided.

Front

What is the meaning of 'per ride' in a word problem?

Back

'Per ride' indicates a cost that is charged for each individual ride taken.

Front

How do you determine when two equations are equal?

Back

Set the two equations equal to each other and solve for the variable.

Front

What does 'gaining followers' mean in a word problem?

Back

It refers to an increase in the number of followers over time, often represented as a positive slope in a linear equation.

Front

What does 'losing followers' mean in a word problem?

Back

It refers to a decrease in the number of followers over time, often represented as a negative slope in a linear equation.

Front

How do you represent a cost equation for a service with a flat fee and a variable cost?

Back

The equation is typically in the form y = mx + b, where m is the variable cost per unit, x is the number of units, and b is the flat fee.

Front

What is the significance of the y-intercept in a cost equation?

Back

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

Front

How can you find the point of intersection of two linear equations?

Back

Solve the system of equations using substitution or elimination methods to find the values of the variables.