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Zanzabum
3 years ago
15

Graph the function by the table. Is the function linear or nonlinear?

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
The answer is Nonlinear.
Karolina [17]3 years ago
3 0

Answer:

Option A - Non-linear              

Step-by-step explanation:

Given : Graph the function by the table.

x           y

1          12.3

2         19.6

3         26.6

4         34.2

5         41.5

To find : Is the function linear or nonlinear?

Solution :

The function is linear when there slopes are equal.

So, we find the slope of the points.

m=\frac{y_2-y_1}{x_2-x_1}

Taking point, (x_1,y_1)=(1,12.3) and (x_2,y_2)=(2,19.6)

m=\frac{19.6-12.3}{2-1}

m=\frac{7.3}{1}

m=7.3

Taking point, (x_1,y_1)=(2,19.6) and (x_2,y_2)=(3,26.6)

m=\frac{26.6-19.6}{3-2}

m=\frac{7}{1}

m=7

We have seen that slope between points are not equal.

Therefore, The given points are non-linear.

So, Option A is correct.

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