The graph shows profits and losses in thousands of dollars...

Name: Problem 123, Chapter 1: Intermediate Algebra
Uploaded: 2020-07-29T17:22:32-08:00
Duration: 5 min
Channel: Dale Sanford
Description: The graph shows profits and losses in thousands of dollars for a private company for the years 2007 through 2010 (GRAPH CANNOT COPY) (a) What was the total profit or loss for the years 2007 through 2010 ? (b) Find the difference between the profit or loss in 2010 and that in 2009 . (c) Find the difference between the profit or loss in 2008 and that in 2007 .

The graph shows profits and losses in thousands of dollars for a private company for the years 2007 through 2010 (GRAPH CANNOT COPY) (a) What was the total profit or loss for the years 2007 through $2010 ?$ (b) Find the difference between the profit or loss in 2010 and that in 2009 . (c) Find the difference between the profit or loss in 2008 and that in 2007 .

The graph shows profits and losses in thousands of dollars for a private company for the years 2007 through 2010
(GRAPH CANNOT COPY)
(a) What was the total profit or loss for the years 2007 through $2010 ?$
(b) Find the difference between the profit or loss in 2010 and that in 2009 .
(c) Find the difference between the profit or loss in 2008 and that in 2007 .

Key Concepts

Calculation of Differences

This concept pertains to determining the change between two numerical values. It involves subtracting one value from another to assess the magnitude of increase or decrease, a fundamental operation in analyzing trends over time in data such as yearly financial results.

Financial Data Analysis

This concept involves the interpretation and evaluation of financial figures like profit and loss. It is key to making informed assessments about a company's performance over a series of time periods, helping in decision-making and forecasting future financial trends.

Graphical Data Interpretation

This concept involves reading and understanding data presented in a graph format, such as a bar graph. It requires recognizing the axes labels, scales, and the representation of data points (in this case, profits and losses over years), which is essential for any quantitative analysis.

Summing Data Points

This concept focuses on the process of adding individual data values to determine an aggregate total. In a financial context, this might involve summing profits and losses across multiple periods to understand the overall performance of an entity.

Transcript

00:01 The graph in your book shows the gains or losses of a company over various years.

00:05 Now, i can't put this graph on my whiteboard, but i've written all the important information into a table.

00:10 So first off, let's find the total net gain or loss over these four years.

00:15 That is, we're going to add all of these numbers up and see what we get.

00:18 Note that they're in the thousands, though that doesn't really come into effect until when we're done, when we realize that these are not just small numbers, but rather thousands.

00:27 Anyways, we'll have 77 minus 142 minus 225 minus 185.

00:35 This is very clearly going to be a negative number.

00:38 So in order to subtract all of this, we're actually going to break it up into two separate parts.

00:43 That is, let's examine the negative part.

00:45 Suppose we factor out a minus, giving a 77 minus 142 plus 225 plus 185.

00:55 Now, if we use long addition to add all of this up, we can find the term inside the parentheses without too much difficulty.

01:03 Let's see if that a shot.

01:06 142, 225, and 185.

01:10 So 5 plus 5 gives us 10, plus 2 is 12.

01:14 We carry the 1.

01:15 1 plus 4 gives us 5, plus 2 gives us 7, and then plus 8 gives us 15.

01:22 Once again, carry the 1.