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. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a? Therefore, b is what percent of a? Hence, if x varies from x=a to x=b, x changes by what percent?
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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.
For each of the following questions, write an expression in terms of a and b to answer the question.
Method 1
- b is how many times as large as a?
- Therefore, b is what percent of a?
- Hence, if x varies from x=a to x=b, x changes by what percent?
Method 2
- If x varies fromx=a to x=bx=b, how much did x change by?
- The amount xx changed by (Δx) is how many times as large as the initial value, x=a?
- Hence, if xx varies from x=a to x=b, what is the percent change in x?
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