Interpret Proportional Relationships (Verbal Descriptions) Problems

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#1 of 7: Medium

Interpret proportional relationships (verbal descriptions)

<p>Mr. Rokne owns a landscaping company. He sends two crews out to mow lawns. Crew `A` mows `6` acres in `7 1/2` hours. Crew `B` mows `8` acres in `5 1/3` hours.</p><p><ul><li> Find the number of acres mowed in an hour for each crew. </li><li>Use that to determine if there is a proportional relationship between the amount of time and the number of acres mowed.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#2 of 7: Medium

Interpret proportional relationships (verbal descriptions)

<p>John and David are playing an online card game. John played `5` games and scored `24` points. David played `8` games and scored `28` points. </p><ul><li>Find the points earned per game by John and David.</li><li>Use that to determine if there is a proportional relationship between the number of games played and the number of points earned.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#3 of 7: Medium

Interpret proportional relationships (verbal descriptions)

<p>In an art elective, Tyler drew `10` pencil sketches in `1 1/3` class periods. Ana drew `7` sketches in `4/5` of a class period. </p><ul><li>Find the number of sketches drawn per class period by Tyler and Ana.</li><li>Use that to determine if there is a proportional relationship between the number of class periods and the number of sketches.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#4 of 7: Mild

Interpret proportional relationships (verbal descriptions)

<p>Tricia and Jamison work on weekends to earn money. Tricia earns `$28.50` for working `3` hours. Jamison works for `5` hours and earns `$47.50`.</p><ul><li>Find the amount earned per hour by Tricia and Jamison.</li><li>Use that to determine if there is a proportional relationship between the amount of time spent working and the amount of money earned.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#5 of 7: Spicy

Interpret proportional relationships (verbal descriptions)

<p>Suzanne reads `7 2/5` pages from a novel in `4/5`  hour. Adara can read `6 3/5` pages from the same novel in `3/4` hour.</p><ul><li>Find the number of pages read per hour by Suzanne and Adara.</li><li>Use that to determine if there is a proportional relationship between the time spent reading and the number of pages read.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#6 of 7: Spicy

Interpret proportional relationships (verbal descriptions)

<p>A crew of loggers in Oregon cleared `1 1/2` acres of lumber in `1 1/4` days. A second crew of loggers working in Washington cleared `2 1/3` acres of lumber in `1 1/3` days. </p><ul><li>Find the acres of land cleared per day by each crew.</li><li>Use that to determine if there is a proportional relationship between the amount of time and the number of acres cleared.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

#7 of 7: Spicy

Interpret proportional relationships (verbal descriptions)

<p>An excavator uses a bulldozer to dig several trenches. The first trench took her `1 1/2` hours to dig and was `5 1/4` feet long. Her second trench was `13 1/8` feet long and took her `3 3/4` hours to complete. </p><ul><li>Find the length of land that was dug per hour in each trench.</li><li>Use that to determine if there is a proportional relationship between the time and the length of the trench that was dug.</li></ul><highlight data-color="#666" data-style="italic">Write your answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

The constant value between two quantities is referred to as the proportional relationship between two variables. There are two types of proportion: direct variation and indirect variation in a proportional relationship. We can easily identify proportional relationships through verbal descriptions.

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Grade 7
Rates And Proportional Relationships
7.RP.A.2

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”