Building Linear Functions from Word Problems

In this lesson, Kaeleigh teaches how to build linear functions from word problems. The video covers three examples: Sarah's story writing, William's dishwashing, and the water level in a tank. Each example demonstrates how to identify the starting value and rate to form a linear equation. The lesson concludes with practice recommendations and tips for recognizing increasing or decreasing trends and unit conversions.

What is the main goal of this lesson?

• To build linear functions from word problems

• To understand geometric shapes

• To learn about quadratic functions

• To solve complex algebraic equations

In Sarah's story writing example, what does the number 15 represent?

• The number of days she writes

• The number of pages she writes per day

• The number of pages she has already written

• The total number of pages she plans to write

What is the rate of pages Sarah writes per day?

• 7 pages

• 10 pages

• 3 pages

• 5 pages

In the equation y = 15 + 5x, what does the variable x represent?

• The number of pages written

• The initial number of pages

• The number of days

• The total number of pages

What is William's rate of washing plates per minute?

• 2 plates

• 3 plates

• 1 plate

• 4 plates

In William's example, what does the number 12 represent?

• The total number of plates to wash

• The number of plates already washed

• The number of minutes spent washing

• The number of plates washed per minute

What is the linear equation for William's dishwashing progress?

• y = 10 + 2x

• y = 15 + 2x

• y = 12 + 3x

• y = 12 + 2x

In the water tank example, what is the initial water level in inches?

• 84 inches

• 96 inches

• 108 inches

• 72 inches

What is the rate of decrease in the water level per hour?

• 6 inches

• 12 inches

• 8 inches

• 10 inches

In the equation H = 108 - 8T, what does T represent?

• The number of hours

• The initial water level

• The final water level

• The rate of decrease