Chapter 1.7, Problem 2GP

To determine

The domain and range of the relation.

Answer to Problem 2GP

The final table is

Anna’s Spending ($)	Bob’s Spending ($)
X	Y
2	21
4	27
6	33
8	39

Explanation of Solution

Given:

Bob spent 5 more than 3 times what Anna spent $y=3\left(x+5\right)$

  

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the given table. Here to solve the table and simplify as shown below,

  $\begin{array}{c}x=2\\ \text{Then}y=3\left(x+5\right)\\ y=3\left(2+5\right)\\ y=21\\ x=4\\ \text{Then}y=3\left(x+5\right)\\ y=3\left(4+5\right)\\ y=27\\ x=6\\ \text{Then}y=3\left(x+5\right)\\ y=3\left(6+5\right)\\ y=33\\ x=8\\ \text{Then}y=3\left(x+5\right)\\ y=3\left(8+5\right)\\ y=39\end{array}$

Thus, the final table is below.

Number of Touchdowns	Number of Points
X	Y
2	21
4	27
6	33
8	39