Percent Error: IM 7.4.14
[url=https://im.kendallhunt.com/MS/teachers/2/4/14/preparation.html]“Percent Error”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 7.4.14
- IM 7.4.14 Lesson: Percent Error
- Practice 7.4.14
- IM 7.4.14 Practice: Percent Error
IM 7.4.14 Lesson: Percent Error
Estimate.
25% of 15.8
9% of 38
1.2% of 127
0.53% of 6
0.06% of 202
Instructions to care for a plant say to water it with [math]\frac{3}{4}[/math] cup of water every day. The plant has been getting 25% too much water. How much water has the plant been getting?[br]
The pressure on a bicycle tire is 63 psi. This is 5% higher than what the manual says is the correct pressure. What is the correct pressure?[br]
The crowd at a sporting event is estimated to be 3,000 people. The exact attendance is 2,486 people. What is the [b]percent error[/b]?[br]
A micrometer is an instrument that can measure lengths to the nearest micron (a micron is a millionth of a meter). Would this instrument be useful for measuring the following thing? If so, what would the largest percent error be?
The thickness of an eyelash, which is typically about 0.1 millimeters.
The diameter of a red blood cell, which is typically about 8 microns.
The diameter of a hydrogen atom, which is about 100 picometers (a picometer is a trillionth of a meter).
A metal measuring tape expands when the temperature goes above 50°F. For every degree Fahrenheit above 50, its length increases by 0.00064%.
The temperature is 100 degrees Fahrenheit. How much longer is a 30-foot measuring tape than its correct length?
What is the percent error?
IM 7.4.14 Practice: Percent Error
A student estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate?
A radar gun measured the speed of a baseball at 103 miles per hour. If the baseball was actually going 102.8 miles per hour, what was the percent error in this measurement?
It took 48 minutes to drive downtown. An app estimated it would be less than that. If the error was 20%, what was the app’s estimate?
A farmer estimated that there were 25 gallons of water left in a tank. If this is an underestimate by 16%, how much water was actually in the tank?
For each story, write an equation that describes the relationship between the two quantities.
Diego collected [math]x[/math] kg of recycling. Lin collected [math]\frac{2}{5}[/math] more than that.
Lin biked [math]x[/math] km. Diego biked [math]\frac{3}{10}[/math] less than that.
Diego read for [math]x[/math] minutes. Lin read [math]\frac{4}{7}[/math] of that.
Decide if [math]y[/math] is an increase or a decrease of [math]x[/math]. Then determine the percentage.[br][img]data:image/png;base64,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[/img]
Decide if [math]y[/math] is an increase or a decrease of [math]x[/math]. Then determine the percentage.[br][img]data:image/png;base64,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[/img]
Lin is making a window covering for a window that has the shape of a half circle on top of a square of side length 3 feet. How much fabric does she need?