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Interpreting linear formulas word problems
Interpreting-features-of-linear-functions 256
Description
Exercise Name: Interpreting linear formulas word problems
Math Missions: 8th grade (U.S.) Math Mission, Algebra I Math Mission, Mathematics II Math Mission
Types of Problems: 2

The Interpreting linear formulas word problems exercise appears under the 8th grade (U.S.) Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise helps to understand the interpretations of properties of linear functions.

Types of Problems

There are two types of problems in this exercise:

  1. Interpret the intercept and slope from graph: This problem provides a word problem and a graph that describes the situation. The user is asked to find and interpret the meaning of the y-intercept and the slope, and then select the correct interpretation from a multiple choice list.
    Ilf1

    Interpret the intercept and slope from graph

  2. Interpret the intercept and slope from chart: This problem provides a word problem and a chart that describes the situation. The user is asked to find and interpret the meaning of the y-intercept and the slope, and then select the correct interpretation from a multiple choice list.
    Ilf2

    Interpret intercept and slope from chart

Strategies

Knowledge of the meaning of slope and y-intercept are slightly more important than calculating them in this exercise.

  1. The y-intercept is the initial value of the word problem.
  2. The slope generally describes the rate of change for a linear model.

Real-life applications

  1. Lines have many applications in business and the sciences.
  2. Intercepts tend to be initial conditions, and slope is the unit rate of change to move along the x-axis units. (In physics, time, in business, units created, etc.)

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