1 If you lift and hold a mass of 4000 grams (such as a gallon of milk), you will notice that it takes some effort. If you add 50 grams to this and lift, you may not notice any difference between 4000 and 4050 grams. However, if you add 50 grams to a 1 gram paper clip, you would certainly notice the difference! The amount of mass you would need to add to notice a difference is called the Minimum Perceivable Difference. For heavier objects, a larger difference is required to notice. Below is a table of the mass of different objects and their Minimum Perceivable Difference. Mass of object (grams) Minimum Perceivable Difference (grams) 247 4.3 1203 9.3 5077 14.4 16449 18.4 54282 150904 These data can be modelled by a logarithmic regression function of the form y = a + b In x where x is the mass of the object, in grams, and y is the Minimum Perceivable Difference in mass, in grams. Determine a logarithmic regression function that could be used to model these data. Round the values of a and b to the nearest tenth. y = 22.6 24.8 In(x) According to the logarithmic regression function, determine the Minimum Perceivable Difference for an object with a mass of 16200 grams. Round to one decimal place. The Minimum Perceivable Difference is grams
1 If you lift and hold a mass of 4000 grams (such as a gallon of milk), you will notice that it takes some effort. If you add 50 grams to this and lift, you may not notice any difference between 4000 and 4050 grams. However, if you add 50 grams to a 1 gram paper clip, you would certainly notice the difference! The amount of mass you would need to add to notice a difference is called the Minimum Perceivable Difference. For heavier objects, a larger difference is required to notice. Below is a table of the mass of different objects and their Minimum Perceivable Difference. Mass of object (grams) Minimum Perceivable Difference (grams) 247 4.3 1203 9.3 5077 14.4 16449 18.4 54282 150904 These data can be modelled by a logarithmic regression function of the form y = a + b In x where x is the mass of the object, in grams, and y is the Minimum Perceivable Difference in mass, in grams. Determine a logarithmic regression function that could be used to model these data. Round the values of a and b to the nearest tenth. y = 22.6 24.8 In(x) According to the logarithmic regression function, determine the Minimum Perceivable Difference for an object with a mass of 16200 grams. Round to one decimal place. The Minimum Perceivable Difference is grams
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:If you lift and hold a mass of 4000 grams (such as a gallon of milk), you will notice that it takes some
effort. If you add 50 grams to this and lift, you may not notice any difference between 4000 and 4050
grams. However, if you add 50 grams to a 1 gram paper clip, you would certainly notice the difference! The
amount of mass you would need to add to notice a difference is called the Minimum Perceivable
Difference. For heavier objects, a larger difference is required to notice. Below is a table of the mass of
different objects and their Minimum Perceivable Difference.
Mass of object (grams) Minimum Perceivable Difference (grams)
247
4.3
1203
9.3
5077
14.4
16449
18.4
54282
150904
These data can be modelled by a logarithmic regression function of the form
y = a + b In x
where x is the mass of the object, in grams, and y is the Minimum Perceivable Difference in mass, in grams.
Determine a logarithmic regression function that could be used to model these data. Round the values of a
and b to the nearest tenth.
y =
22.6
24.8
In(x)
According to the logarithmic regression function, determine the Minimum Perceivable Difference for an
object with a mass of 16200 grams. Round to one decimal place.
1 The Minimum Perceivable Difference is
grams
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