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Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

Sagot :

varshamittal029

y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

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Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

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