A.2BCEFGH Equations & Inequalities DA#3 REDO

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What is a linear function?

Back

A linear function is a mathematical function that creates a straight line when graphed. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

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What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

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How do you write a linear function for a real-world scenario?

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To write a linear function for a real-world scenario, identify the variables involved, determine the relationship between them, and express it in the form y = mx + b.

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What is the total cost function for purchasing t cartridges at $18.99 each with a $7.95 shipping fee?

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c = 18.99t + 7.95, where c is the total cost and t is the number of cartridges.

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What does the term 'flat rate' mean in pricing?

Back

A flat rate means a fixed charge that does not change regardless of the quantity or amount of service provided.

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How do you determine the total cost from a linear function?

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To determine the total cost from a linear function, substitute the value of the independent variable (e.g., number of items) into the function and solve for the dependent variable (total cost).

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

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How can you represent a situation with an inequality?

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To represent a situation with an inequality, identify the quantities involved and the relationship between them, then use symbols like <, >, ≤, or ≥ to express the comparison.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is not necessarily equal to the other and can be greater or less.