Question

m = 3/4
m = 4/3
m = -3/4
m = -4/3
nora gave the following answer for a test question about the rates of change for two tables. \the rate of change in table a is -5/3 and rate of change in table b is 1/2. since 1/2 > -5/3, table b has a greater rate of change.\ is she correct? explain your reasoning.
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Explanation:

To determine if Nora is correct, we compare the two rates of change: \(-\frac{5}{3}\) (Table A) and \(\frac{1}{2}\) (Table B). When comparing a positive number and a negative number, the positive number is always greater. Since \(\frac{1}{2}\) is positive and \(-\frac{5}{3}\) is negative, \(\frac{1}{2}>-\frac{5}{3}\). So Nora's reasoning is correct because a positive rate of change is greater than a negative rate of change.

Answer:

Yes, Nora is correct. Because a positive number (\(\frac{1}{2}\)) is always greater than a negative number (\(-\frac{5}{3}\)), so since \(\frac{1}{2}>-\frac{5}{3}\), Table B has a greater rate of change.