Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
Mid-Chapter Quiz
Continue to next subchapter

Exercise 5 Page 252

The number of dog biscuits left is dependent on the number of tricks a dog performs. This means that the number of biscuits is the dependent variable and the number of tricks is the independent variable.

In Words

The relationship between the two variables can be stated in words as: With each trick performed, the number of biscuits decreases by

Equation for the Relationship

Let's look for a pattern of change in the given table.

We can see that every time the values increase by the values decrease by This might lead us to believe that the relationship is just times However, we can see that this does not work by checking any of the points.
The values are less than we need in each case. Therefore, we can say that the value of is equal to times plus We can write this as the following equation.

Graphing the Relationship

To show our data graphically, we can plot the points on a coordinate plane. Notice that we cannot draw a line to represent this function because a dog cannot do a partial trick, so only whole numbers make sense in this context.