Question

In the first four months of the year, Noralie’s jewelry sales were declining. After April, her sales began to improve. Which of the following tables of data represents Noralie’s jewelry sales if the sales are represented by the following function?

Answer 1

Option D

Explanation:

Sales of Noralie's jewelry were on a decline for the first four months.

After April, the sales started improving.

Given the function to represent the sales:

`y=\left \{ {{-x+8}\ if\ x<4 \atop {x} \ if\ x\geq 4} \right.`

To find:

The table from the answer options that represent the answer.

Solution:

From the options, it can be clearly seen that value of
`x` is 2, 4, 6, 8, 10, 12.

Let us put the values one by one and then check the value of
`y`.

`x = 2,\ y = -2+8 = -6\\x = 4\, y = x = 4\\x = 6,\ y = x = 6\\x = 8,\ y = x = 8\\x = 10,\ y = x = 10\\x = 12,\ y = x = 12`

Therefore, the answer table is:

`\begin{center}\begin{tabular}{ c c}x & y \\ 2 & -6 \\ 4 & 4 \\ 6 & 6 \\ 8 & 8 \\ 10 & 10 \\ 12 & 12 \\\end{tabular}\end{center}`