Question

Jenna is making bracelets and necklaces to sell to raise money for the field trip her class is taking next month. If she raises more than the $108 required to go on the field trip, she will donate the additional money raised to the local animal shelter. She is selling each bracelet for $6 and each necklace for $9. She is hoping to sell at least 16 total bracelets and necklaces.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

The two lines and the four sections on the graph below represent the constraints of this situation. Which arrow points to the solution region for the system of inequalities modeled by this situation?

Answer 1

The solution region for the system of inequalities is in the lower left section of the graph.

Step-by-step explanation:

The solution region for the system of inequalities modeled by this situation is represented by the arrow pointing to the lower left section of the graph.

To determine the solution region, we need to consider the constraints given. Jenna wants to raise more than $108, so the total amount she earns, represented by the equation 6b + 9n, needs to be greater than 108.

She also wants to sell at least 16 bracelets and necklaces, so the total number of bracelets and necklaces sold, represented by the equation b + n, needs to be greater than or equal to 16.

Combining these two inequalities and graphing them, we find that the solution region is in the lower left section of the graph.