These lessons, with videos, examples, and step-by-step solutions, help Algebra 1 students learn about applications of linear functions.

**Related Pages**

Linear Functions

Interpret Linear Functions

More Lessons for Algebra I

Math Worksheets

**Linear Functions - Applications**

Application of problem involving linear functions.

**Example:**

A cereal company finds that if it spends $40,000 on advertising, then 100,000 boxes of cereal will be sold, and of it spends $60,000, then 200,000 boxes will be sold.

(a) Write a linear equation that relates the amount A spent on ads to the number x of boxes sold.

(b) How much advertising is needed to sell 300,000 boxes of cereal?

(c) Interpret the slope of your linear function.

**Applications of Linear Functions**

**Example:**

A truck rental company charges $30 to rent a truck for the day, plus an additional charge for mileage. The total cost of renting a truck and friving 100 mi;es $65.

(a) Find a linear equation that relates the cost C of renting a truck to the number n of miles drive.

(b) Bonnie rents a truck, and her total cost was $110.50. How many miles did she drive?

(c) Interpret the slope of your linear function.

Applications of Linear Functions - Math Help

Students learn to solve word problems that involve direct variation and linear functions. Students are given table of ordered pairs, and are asked to write a rule for the linear function in slope-intercept form, graph the function, and explain the meaning of the slope and y-intercept.

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