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Ket [755]
3 years ago
13

The table represents a function.

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0

Answer:

The correct option is 3. The rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

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

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

​y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table. Option 3 is correct.

EastWind [94]3 years ago
6 0

Answer:

The correct option is 3. The rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

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

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

​y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table. Option 3 is correct.

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