A Linear Equation is a rule that assigns to each number x on the x-axis exactly one number y on the y – axis so
that the ordered pairs (x,y) form a line. We call y the Dependent Variable and we call x the Independent
Variable because the value assigned to y by the linear equation will depend on the value selected for x.
Now consider this scenario: we can burn 4 calories by walking 100 steps. The linear equation modeling this
scenario is C=0.04*S where C is the dependent variable and S is the independent variable. Here, C represents
calories burned for some number of steps S walked. Use this calorie burning model for walking to answer the
following questions:
1) How many calories have been burned after a step count of 600 steps??
2) How many steps does it take to burn 500 calories in one day?
Next, you will create a new linear model that shows the amount of calories burned in a given day during some
activity you choose, compensating for food intake. Produce a model with a reasonable rate of calorie burn for
walking, running, or some other activity (provide the source of your rate), and account for a daily calorie intake
between 1200 and 3000 calories. Be sure to describe the detailed scenario for which your equation models.
Conclude your post by rewording the following questions to fit your scenario:
1) How many calories have been burned after 1 typical session of activity?
2)How much activity does it take to burn all the calories eaten in one day?