Question

Travis has a budget of $300 to spend on perennial or annual flowers. He wants to buy at least 8 perennial flowers and at least 6 annual flowers. Perennial flowers cost $18 each, and annual flowers cost $15 each. Let x be the amount spent on perennial flowers, and y be the amount spent on annual flowers. Which system of inequalities describes this situation?

Answer 1

A system of inequalities representing Travis's budget for perennial and annual flowers is x ≥ 144, y ≥ 90, and x + y ≤ 300, where x is the amount spent on perennials and y is spent on annuals.

Step-by-step explanation:

The student has asked to define a system of inequalities that represents the budget problem faced by Travis, who has a budget constraint for buying perennial and annual flowers. Given that Travis has $300 to spend, wants at least 8 perennial flowers at $18 each, and at least 6 annual flowers at $15 each, we can establish the following system of inequalities:

• x ≥ 8 × 18
• y ≥ 6 × 15
• x + y ≤ 300

Where x represents the amount spent on perennial flowers and y represents the amount spent on annual flowers.