Question

The table shows the first five terms for two number sequences with different rules. Select the coordinate plane that has the ordered pairs properly plotted. (4 points)

A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers six, eight, ten, twelve, fourteen. Under Sequence Two is the numbers sixteen, thirteen, ten, seven, and four. Under Ordered Pairs is the ordered pairs six and sixteen, eight and thirteen, ten and ten, twelve and seven, and fourteen and four.

Answer 1

The linear function of the table of values is y = -1.5x + 25

How to plot the ordered pairs?

The table of values is given as:

Sequence One       Sequence Two       Ordered Pair        

6                                         16                           (6, 16)

8                                         13                           (8, 13)

10                                        10                           (10, 10)

12                                         7                            (12, 7)

14                                         4                            (14, 4)

From the above table of values, we can see that:

• As x constantly increases by 2 i.e. +1
• y constantly decreases by 3 i.e. -3

This means that the table represents a linear function, and the slope of the function is

m = -3/+2

This gives

m = -1.5

A linear function is represented as:

y = mx + c

This gives

y = -1.5x + c

Using the table of values, we have

16 = -1.5 * 6 + c

Evaluate the product

16 = -9 + c

Add 9 to both sides

c = 25

Substitute c = 25 in y = -1.5x + c

y = -1.5x + 25

Hence, the linear function of the table of values is y = -1.5x + 25

See attachment for the graph of the table

Read more about linear functions at:

https://brainly.com/question/4025726

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