Chapter 6.5, Problem 40PPE

To determine

To calculate:write and graph an inequality to show you can buy how much gallons of milk and pounds of ground beef today.

Answer to Problem 40PPE

  $3.10x+2.4y\le 20$

  

Explanation of Solution

Calculation:

Let’s first formulate equations for given situations,

Let’s say you choose to buy $x$ gallons of milk and $y$ pound of beef.

Now, the cost of milk after discount is, $\$3.60-0.50=\$3.10$ and the cost of beef after discount is, $\$3\times 0.8=\$2.4$

Now, you want to spend no more than $\$20$ .

  $\therefore 3.10x+2.4y\le 20$

Let’s plot these inequality

  

Red area is a common area of solution.