Chapter 1.2, Problem 46STP

To determine

To find: the rule that describes the order pairs

Answer to Problem 46STP

Option H describes the order pairs

Explanation of Solution

Given:

x	y
1	1
2	4
3	7
4	10

F $y=x$

H $y=3x-2$

G $y=2x$

J $y=2x+2$

Calculation:

Option F: $y=x$

This relation is not valid for the above table, as it says that x and y are equal everywhere, but this doesn't hold.

As, when $x=2,y=4\ne x$

Option G: $y=2x$

Substitute all values of x in the above equation to check if the value, of y thus obtained is same as that given in table or not.

At $x=1:y=2\left(1\right)=2$

Since the first value itself don't match, therefore this relation is also not valid.

Option H: $y=3x-2$

Substitute all values of x in the above equation to check if the value, of y thus obtained is same as that given in table or not.

At $x=1:y=3\left(1\right)-2=1$

At $x=2:y=3\left(2\right)-2=4$

At $x=3:y=3\left(3\right)-2=7$

At $x=4:y=3\left(4\right)-2=10$

Since the values obtained above are same as in table.

Thus our answer is H

Conclusion:

Thus, option H describes the order pairs