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Sauron [17]
3 years ago
9

6. The graphs of linear functions fand g are shown on the grid.

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

the graph is proporational

Step-by-step explanation:

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Read 2 more answers
Two quantities are related, as shown in the table:
Mnenie [13.5K]

Given:

The table of values.

To find:

The equation that best represents the relationship.

Solution:

From the given table it is clear that the value of x increasing by 2 and the value of y increasing by 3. Since y is increasing at a constant rate with respect to x, therefore the given table represents a linear relationship.

Consider any two points from the given table. Let the two points are (2,2) and (4,5). So, the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-2=\dfrac{5-2}{4-2}(x-2)

y-2=\dfrac{3}{2}(x-2)

y-2=\dfrac{3}{2}(x)+\dfrac{3}{2}(-2)

On further simplification, we get

y-2=\dfrac{3}{2}(x)-3

y=\dfrac{3}{2}(x)-3+2

y=\dfrac{3}{2}(x)-1

Therefore, the correct option is A.

6 0
3 years ago
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