Question

The table represents a function.

x y
0 6
2 8
4 10
6 12

Complete the statement by selecting from the drop-down menu.

The rate of change in the function y=x+4 is (BLANK) the rate of change of the function represented in the table.

Greater than
Less than
or
Equal to

Answer 1

Answer: equal to! this would be the correct answer i took the k-12 test and i really hope you guys get a 100% too! have a wonderful educational day!

Answer 2

We have to complete the statement:

" The rate of change in the function y=x+4 is ______ the rate of change of the function represented in the table."

Let us consider the function represented in table.

The coordinates given in the table are:

(0,6) (2,8) (4,10) and (6,12)

Consider the first two coordinates (0,6) and (2,8)

`x_(1)=0 , y_(1)=6, x_(2)=2 , y_(2)=8`

Equation of line is given by
`(y-y_(1))=m(x-x_(1))`

where 'm' is slope(rate of change) is given by the formula:

`m = (y_(2)-y_(1))/(x_(2)-x_(1))`

So,
`m = (8-6)/(2-0)=1`

So, equation of line is :

(y-6)= 1 (x-0)

y-6=x

y=x+6

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

Now,

We will find the rate of change(slope) in the function y=x+4

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

So, " The rate of change in the function y=x+4 is equal to the rate of change of the function represented in the table.