3. Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets
cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena
needs at least 7 gift items.
This graph represents the inequality
3b+5n S 30, which describes the cost
constraint in this situation.
Let b represent the number of bracelets
and the number of necklaces.
36+51130
number of necklaces
2
8 10
number of bracelets
12
14
a. Write an inequality that represents the number of gift items that Elena needs.
3',
b. On the same coordinate plane, graph the solution set to the inequality you
wrote.
c. Use the graphs to find at least two possible combinations of bracelets and
necklaces Elena could buy.
d. Explain how the graphs show that the combination of 2 bracelets and 5
necklaces meet one constraint in the situation but not the other constraint.