Suppose the value of x varies from x=a to x=b. There are at least two ways of thinking about what percent x changed by. We'll explore two of them here.For each of the following questions, write an expression in terms of a and b to answer the question.Method 1:b is what percent of a?Hence, if x varies from x=a to x=b, x changes by what percent?Method 2:1. The amount x changed by (Δx) is how many times as large as the initial value, x=a?2. Hence, if x varies from x=a to x=b, what is the percent change in x? Suppose the value of x varies from x = a to x = b. There are at least two ways of thinking about what percent a changed by. We'll explore twoof them here.For each of the following questions, write an expression in terms of a and b to answer the question.a. Method 1i. b is how many times as large as a?b/atimes as largePreviewii. Therefore, b is what percent of a?* %Previewsyntax erroriii. Hence, if x varies from x = a to x =b, x changes by what percent?* %Previewb. Method 2i. If x varies from x = a to x =b, how much did x change by?Ax :b-aPreviev||ii. The amount x changed by (Ax) is how many times as large as the initial value, x = a?It¢ times as largePreviewsyntax erroriii. Hence, if x varies from x = a to x =b, what is the percent change in x?* %Preview

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Answered: Suppose the value of x varies from x =…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter25: Achievement Review—section Two

Section: Chapter Questions

Problem 14AR: Analyze each of the following problems to determine whether the problem is a direct or inverse...

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Suppose the value of x varies from x=a to x=b. There are at least two ways of thinking about what percent x changed by. We'll explore two of them here.

For each of the following questions, write an expression in terms of a and b to answer the question.

Method 1:

b is what percent of a?
Hence, if x varies from x=a to x=b, x changes by what percent?

Method 2:

1. The amount x changed by (Δx) is how many times as large as the initial value, x=a?

2. Hence, if x varies from x=a to x=b, what is the percent change in x?

Suppose the value of x varies from x = a to x = b. There are at least two ways of thinking about what percent a changed by. We'll explore two
of them here.
For each of the following questions, write an expression in terms of a and b to answer the question.
a. Method 1
i. b is how many times as large as a?
b/a
times as large
Preview
ii. Therefore, b is what percent of a?
* %
Preview
syntax error
iii. Hence, if x varies from x = a to x =
b, x changes by what percent?
* %
Preview
b. Method 2
i. If x varies from x = a to x =
b, how much did x change by?
Ax :
b-a
Previev
||
ii. The amount x changed by (Ax) is how many times as large as the initial value, x = a?
It¢ times as large
Preview
syntax error
iii. Hence, if x varies from x = a to x =
b, what is the percent change in x?
* %
Preview

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