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marcucciisabella
01.08.2019 •
Mathematics
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
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Ответ:
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)
Equation of line is given by![(y-y_{1})=m(x-x_{1})](/tpl/images/0159/0195/9b331.png)
where 'm' is slope(rate of change) is given by the formula:
So,![m = \frac{8-6}{2-0}=1](/tpl/images/0159/0195/0b1d3.png)
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.
Ответ:
has 6 vertices