Question

The class of 2004 holds a reunion each year. In $2005,87.5 \%$ of the 120 graduates attended. In $2006,90$ students went, and in $2007,75$ students went. About how many students do you predict will go to the reunion in $2010 ?$ (A) 12 (B) 15 (C) 24 (D) 30

Name: Problem 39, Chapter 2: Geometry
Uploaded: 2020-06-08T18:11:20-08:00
Duration: 2 min 31 s
Channel: Erin Kirchmeier
Description: The class of 2004 holds a reunion each year. In 2005,87.5 % of the 120 graduates attended. In 2006,90 students went, and in 2007,75 students went. About how many students do you predict will go to the reunion in 2010 ? (A) 12 (B) 15 (C) 24 (D) 30

   The class of 2004 holds a reunion each year. In $2005,87.5 \%$ of the 120 graduates attended. In $2006,90$ students went, and in $2007,75$ students went. About how many students do you predict will go to the reunion in $2010 ?$
(A) 12
(B) 15
(C) 24
(D) 30

Geometry

Edward Burger, David… 1st Edition

Chapter 2, Problem 39

Instant Answer

Solved by Expert Erin Kirchmeier

06/08/2020

Step 1

We know that 87.5% of the 120 graduates attended. To find this number, we convert the percentage to a decimal and multiply it by the total number of graduates. So, $0.875 \times 120 = 105$ students attended the reunion in 2005. Show more…

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The class of 2004 holds a reunion each year. In $2005,87.5 \%$ of the 120 graduates attended. In $2006,90$ students went, and in $2007,75$ students went. About how many students do you predict will go to the reunion in $2010 ?$ (A) 12 (B) 15 (C) 24 (D) 30

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Key Concepts

Arithmetic Sequence

An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, known as the common difference, to the previous term. In problems involving regularly decreasing or increasing quantities, recognizing an arithmetic sequence allows one to easily predict future terms by applying the common difference.

Linear Extrapolation

Linear extrapolation is a method used to predict future values based on current data trends following a linear pattern. By identifying the constant change between observed data points, one can extend the pattern to forecast values at future points in time.

Percentage Conversion

Percentage conversion involves translating a given percentage into a numerical value by calculating the corresponding fraction of a whole. This concept is important in interpreting data presented in percentage form and converting it into an absolute quantity for further analysis.

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