Q38. - Algebra 2

Question

Graph the inequality for situation. 

Step-by-Step Solution

Answer

The graph of the inequality is

The inequality is $x<2$

Step-1 &ndash; Describe the give data from the question.

Here Consider the following information

Carl Talbert estimates that he will need to earn at least  $9000$ per year combined in dividend income from the two stocks listed in the table below.

Company	Dividend per share
Able Records best Bakes	$\begin{array}{l}1.20\\ 1.30\end{array}$

 

In order to collect at least $9000$ collect at least in a year, let Carl buy $x$ shares of Able Records and $y$shares of best bakes.

The Able records give dividend of $1.2$ per share, therefore, Carl receives $1.2x$for $x$ shares. Best Bakes gives dividend of $1.3$ dividend of per share, therefore, Carl receives $1.3y$for $y$ shares.

Step-2 &ndash; Put the value of the inequality in the function

Since, Carl wants to receive at least $9000$ in a year, use $\ge$ symbol

Therefore, 

Sum of the Dividend received and Dividend Received at least Nine thousand 

From Able Records from Best Bakes 

$1.2x+1.3y\ge 9000$

Therefore, the inequality representing the above condition is $1.2x+1.3y\ge 9000$

Step-3 &ndash; Plot the graph of the given function

The graph of the function can be plot as