lici14
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The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)
B)
C)
D)

The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change? A) B) C) D) class=

Verified Answer :

Fillies07

i think the answer is C. if its wrong i am sorry.:(
hope this helps:)

Answer:

Table: C has the NEGATIVE rate of change.

Step-by-step explanation:

We are asked to find which table show the NEGATIVE rate of change.

The rate of change(R) is given as:

\(R=\dfrac{y_2-y_1}{x_2-x_1}\)

for the points: \((x_1,y_1),(x_2,y_2)\)

So, the negative rate of change will be observed in the table in which the y value decreases with the increasing x.

Such  a rate of change is observed in Table C since we could see the change as:

Table: C

x     1      2        3        4

y     4      2      4/3      1

Now the rate of change is:

  • \(R=\dfrac{2-4}{2-1}=\dfrac{-2}{1}=-2\)

  • \(R=\dfrac{4/3-2}{3-2}=\dfrac{-2}{3}\)

  • \(R=\dfrac{1-\dfrac{4}{3}}{4-3}=\dfrac{-1}{3}\)

Hence, Table C is the correct answer.

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