Number of Earthquakes in the U.S. 2008 2009 3,618 4,257 a.

step 1 All right, we are supposed to find the increase in the number of earthquakes between 2008 and 20

Number of Earthquakes in the U.S. ...

$$ \begin{aligned} &\begin{array}{c} {\text { Number of Earthquakes in the U.S. }} \\ {\begin{array}{rl} {2008} & {2009} \\ {3,618} & {4,257} \end{array}} \end{array}\\ \end{aligned} a. Find the amount of increase in the number of earthquakes. b. Fill in blanks to find the percent of increase in earthquakes: _______ is ______ % of ______?

$$
\begin{aligned}
&\begin{array}{c}
{\text { Number of Earthquakes in the U.S. }} \\
{\begin{array}{rl}
{2008} & {2009} \\
{3,618} & {4,257}
\end{array}}
\end{array}\\
\end{aligned}
a. Find the amount of increase in the number of earthquakes.
b. Fill in blanks to find the percent of increase in earthquakes: _______ is ______ % of ______?

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Key Concepts

Absolute Change

This concept refers to the difference between two numerical values. In the context of the question, it involves subtracting the earlier value from the later one to measure how much an amount has increased or decreased.

Percentage Increase

Percentage increase quantifies the relative change between an original value and a new value. It is calculated by dividing the absolute change by the original value and then multiplying by 100 to convert it to a percentage. This allows for comparison between values in a standardized manner.

Reference Value in Percent Calculations

When calculating percentages, an important concept is the reference or base value, which is the original or initial quantity used in the calculation. The increase or decrease is measured relative to this base, helping clarify how significant the change is in practical terms.

Translating Word Problems into Mathematical Expressions

This skill involves interpreting verbal statements or fill-in-the-blank equations into precise mathematical expressions. Understanding the language of percentage and proportion problems is essential to set up the equation correctly and solve for the required unknowns.

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