Final answer:
Adam can spend up to $15 on balloons with decorative balloons costing $3.00 each and solid colored balloons costing $0.50 each. The inequality that represents his spending limit is 3d + 0.5s ≤ 15. Two possible combinations he can purchase are 5 decorative and 0 solid colored balloons, or 2 decorative and 6 solid colored balloons.
Step-by-step explanation:
Adam has a budget of $15 to spend on helium balloons. The cost for decorative balloons is $3.00 each, and solid colored balloons cost $0.50 each. To find out how many balloons he can buy, we write the inequality below:
3d + 0.5s ≤ 15
where d represents the number of decorative balloons and s represents the number of solid colored balloons. Adam can purchase any combination of balloons that satisfies this inequality.
Graph the solutions
To graph the inequality, each axis will represent one type of balloon. The x-axis can represent the number of decorative balloons and the y-axis can represent the number of solid colored balloons. The area below and to the left of the line (including the line itself) represents all possible combinations Adam can buy without exceeding his budget.
Two possible combinations
- Combination 1: 5 decorative balloons and 0 solid colored balloons, costing $15 total.
- Combination 2: 2 decorative balloons and 6 solid colored balloons, costing $9 total.