Question

The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?

A)
B)
C)
D)

Answer 1

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

Answer 2

Table: C has the NEGATIVE rate of change.

Explanation:

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

The rate of change(R) is given as:

`R=(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=(2-4)/(2-1)=(-2)/(1)=-2`

• 
  `R=(4/3-2)/(3-2)=(-2)/(3)`

• 
  `R=(1-(4)/(3))/(4-3)=(-1)/(3)`

Hence, Table C is the correct answer.