114k views
2 votes
Determine what type of model best fits the given situation: A $500 raise in salary each year.

User Kdubs
by
9.4k points

1 Answer

2 votes

Answer:

  • A linear model

Step-by-step explanation:

The type of model that best fits the situation of a $500 raise in a salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year Salary Change in year Change in salary

2010 A - -

2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500

2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).

In this case m = $500 and b is the starting salary: y = 500x + b.

User Jkm
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories