Chapter 5.5, Problem 5STP

The grocery store is selling eggs for $ 2 per dozen and bacon for $ 5 per pound. You plan to spend $ 50 in food for the benefit breakfast. Write and graph an equation that represents this situation. What are three combinations of dozens of eggs and pounds of bacon you can purchase?

To determine

To find: an equation for$2 per dozens of eggs and $5 per pounds of bacon and graph an equation. And the 3 equation for that conditions and graph.

Answer to Problem 5STP

The equationfor $2 per dozens of eggs and $5 per pounds of bacon is $y=-\frac{5}{2}x+25$

Three possible combinations are $\left(10,0\right),\left(2,20\right)\text{and}\left(6,10\right)$

Explanation of Solution

Given information:

Grocery store is selling eggs for $2 per dozen and bacon for $5 per pound.

And plan to spend $50 in food for breakfast.

Consider x is the pounds of bacon purchased and y is the dozen of egg purchased for breakfast.

Total amount is $50,

  $\begin{array}{l}5x+2y=50\\ 2y=-5x+50\\ y=-\frac{5}{2}x+25\end{array}$

This is the required equation,

Sketch the graph of this equation,

  

From the graph it line passes through the points $\left(10,0\right),\left(2,20\right)\text{and}\left(6,10\right)$ ,

Therefore three possible combinations are $\left(10,0\right),\left(2,20\right)\text{and}\left(6,10\right)$