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Vikentia [17]
3 years ago
6

Which ordered pair could be a solution to this inequality?

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0
The answer is B. (1,1).
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The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,
maks197457 [2]

Answer:

(18,27) , because the rate of change of the function is \frac{4}{3}

Step-by-step explanation:

step 1

Find the slope of the linear equation

Looking at the table

we have the points (0,3) and (3,7)

The slope is equal to

m=(7-3)/(3-0)=\frac{4}{3}

step 2

Find the equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=\frac{4}{3}

b=3 -----> point (0,3) is the y-intercept

substitute

y=\frac{4}{3}x+3

The rate of change of the linear equation is equal to \frac{4}{3}

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

<u><em>Verify </em></u>

1) point (18,27)

substitute the value of x and the value of y in the linear equation

27=\frac{4}{3}(18)+3

27=24+3

27=27 -----> is true

so

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

18=\frac{4}{3}(27)+3

18=36+3

18 \neq 39 -----> is not true

so

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

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3 years ago
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