Skip to main content
Contents Dark Mode Prev Up Next \(\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \def\thecourse{MT 250} \def\theterm{Fall 2024}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Section 6.1 Percent Change Prep Activities
Percentages are a common way to describe a quantity of interest (the “part”) as a fraction of a base quantity (the “whole”). The equations
\begin{equation*}
\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100, \qquad \text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}
\end{equation*}
can be used to find the percent or the part.
Prep Activity 6.1.1 .
The U.S. Census Bureau conducts a census of the U.S. population every ten years. The 2020 census found that approximately 330,000,000 people lived in the U.S. The Census Bureau also reported that 5.9% of the U.S. population was under five years of age. How many children under the age of five were living in the U.S. in 2020?
Prep Activity 6.1.2 .
Audryn added a $12.24 tip to a $68.00 restaurant bill.
(a) What percent tip did she leave?
(b) How much did Audryn pay in total, including tip?
(c)
Calculate the percent of the original $68.00 bill that Audryn paid in the total amount by plugging your answer to part (b) in to the equation:
\begin{equation*}
\text{Percent} = \frac{\text{Answer to (b)}}{68.00} \times 100.
\end{equation*}
(d) What do you notice about the percents in parts (a) and (c)?
Prep Activity 6.1.3 .
August bought a new shirt. Its original price was $25, but it was on sale for 15% off.
(a) How much did August pay for the shirt? Show all of the steps that you used to find the answer.
(b)
Calculate the percent of the original price that August actually paid by plugging your answer to part (a) into the equation:
\begin{equation*}
\text{Percent} = \frac{\text{Answer to (a)}}{25} \times 100.
\end{equation*}
(c) What do you notice about your answer to part (b)?
Prep Activity 6.1.4 .
You’ll need to be able to do the following things for this lesson. Rate how confident you are on a scale of 1 - 5 (1 = not confident and 5 = very confident).
Table 6.1.1.
Find the part given the percent and the whole.
Find the percent given the part and the whole.
