Which table and graph represent the equation y = 5x? A. Table B and graph B B. Table A and graph A C. Table A and graph B D. Table B and graph A

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

Step-by-step explanation:

Given the equation

y = 5x

CHECKING TABLE A

x           y

5           1

10         2

15         3

substituting x = 5 in the equation

y = 5x

y = 5(5)

y = 25

Thus,

at x = 5, y = 25

Hence,

(5, 25) does not satisfy the table A.

substituting x = 10 in the equation

y = 5x

y = 5(10)

y = 50

Thus,

at x = 10, y = 50

Hence,

(10, 50) does not satisfy the table A.

substituting x = 15 in the equation

y = 5x

y = 5(15)

y = 75

Thus,

at x = 15, y = 75

Hence,

(15, 75) does not satisfy the table A.

Conclusion:

Table A does not represent the equation y = 5x

CHECKING TABLE B

x            y

1            5

2          10

3          15

substituting x = 1 in the equation

y = 5x

y = 5(1)

y = 5

Thus,

at x = 1, y = 5

Hence,

(1, 5) satisfies the table B.

substituting x = 2 in the equation

y = 5x

y = 5(2)

y = 10

Thus,

at x = 2, y = 10

Hence,

(2, 10) satisfies the table B.

substituting x = 3 in the equation

y = 5x

y = 5(3)

y = 15

Thus,

at x = 3, y = 15

Hence,

(3, 15) satisfies the table B.

Conclusion:

Table A represents the equation y = 5x

CHECKING GRAPH A

Given the equation

y = 5x

It is clear from graph A that

at x = 1, y = 5

at x = 2, y = 10

at x = 3, y = 15

Also

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

Aso the table indicates that at x = 0, y = 0

Thus, the graph represents the equation y = 5x.

CHECKING GRAPH B

y = 5x

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

But, the table B indicates that at x = 0, y = 5.

Thus, graph B does not represent the equation

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

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