Question

Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350.If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region?

Answer 1

Given:

Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2.

Let the number of the fluorescent light bulbs = y

And the number of the incandescent light bulbs = x

To meet her quota, she needs to sell over 100 light bulbs and make at least $350.

So, we can write the following system of inequalities:

`\begin{gathered} x+y>100 \\ 2x+5y\ge350 \end{gathered}`

Now, we will graph the system of the inequalities to find the area of the solution

The graph will be as follows:

So, the answer will be the graph that is on the upper right-side.

Graph x