Suppose the value of a varies from a = a to x = b. There are...

 

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Suppose the value of a varies from a = 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? times as large Preview ii. Therefore, b is what percent of a? % Preview iii. Hence, if æ varies from a = a to x = b, æ changes by what percent? % Preview b. Method 2 i. If e varies from a = a to x = b, how much did æ change by? Ax = Previcw ii. The amount æ changed by (Ax) is how many times as large as the initial value, a = a? times as large Preview iii. Hence, if varies from a = a to x = b, what is the percent change in x? % Preview Notice that your answers to parts (iii) of both (a) and (b) are algebraically equivalent! (You can rewrite either one in the form of the other.) Submit Suppose the value of a varies from a = 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? times as large Preview ii. Therefore, b is what percent of a? % Preview iii. Hence, if æ varies from a = a to x = b, æ changes by what percent? % Preview b. Method 2 i. If e varies from a = a to x = b, how much did æ change by? Ax = Previcw ii. The amount æ changed by (Ax) is how many times as large as the initial value, a = a? times as large Preview iii. Hence, if varies from a = a to x = b, what is the percent change in x? % Preview Notice that your answers to parts (iii) of both (a) and (b) are algebraically equivalent! (You can rewrite either one in the form of the other.) Submit

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a a X and 9 varies from xa to xb l... View the full answer