Front

What is a linear equation in the context of real-world situations?

Back

A linear equation is an equation that models a relationship between two variables in a straight-line format, often representing costs, distances, or other quantities that change at a constant rate.

Tags

CCSS.8.EE.C.8C

Front

How do you represent a total cost that includes a fixed fee and a variable cost?

Back

The total cost can be represented as T = fixed fee + (variable cost per unit * number of units).

Front

What does the variable 'y' typically represent in cost equations?

Back

In cost equations, 'y' often represents the number of variable units, such as classes attended, children at a party, or deliveries made.

Tags

CCSS.HSF.LE.B.5

Front

How can you derive a function rule from a real-world scenario?

Back

To derive a function rule, identify the fixed costs and the variable costs, then express the total cost as a function of the variable quantity.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of the slope in a cost equation?

Back

The slope represents the variable cost per unit, indicating how much the total cost increases with each additional unit.

Tags

CCSS.8.EE.B.5

Front

How do you solve for a variable in an equation representing a real-world situation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Tags

CCSS.7.EE.B.4A

Front

What does the equation T = 80 + 9y represent in a real-world context?

Back

This equation represents the total cost T for Bonnie, where she pays a fixed monthly fee of $80 and an additional $9 for each yoga class attended.

Tags

CCSS.HSF.LE.B.5

Front

How can you interpret the equation 74.80 = 8x in a real-world scenario?

Back

This equation can be interpreted as Charlene earning a total of $74.80 for working 8 hours, where x represents her hourly wage.

Tags

CCSS.6.EE.B.7

Front

What is the role of constants in linear equations?

Back

Constants in linear equations represent fixed amounts that do not change, such as base fees or initial costs.

Tags

CCSS.HSF.LE.B.5

Front

How do you set up an equation to find the number of months based on total costs?

Back

To set up the equation, combine the fixed fee with the product of the monthly fee and the number of months, then set it equal to the total cost.

Tags

CCSS.HSA.CED.A.3