Question

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12. Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys. Which inequality represents this situation? 1.29x+1.35y<12 1.29x+1.35y≥12 1.29x+1.35y>12 1.29x+1.35y≤12

Answer 1

The inequality that represents the situation where Nick buys apples and oranges with a total spending of no more than $12 is 1.29x + 1.35y ≤ 12.

Step-by-step explanation:

Nick is making a fruit salad and has a budget constraint for purchasing fruits. The inequality that represents this situation is 1.29x + 1.35y ≤ 12. The 'x' represents the number of pounds of apples and 'y' represents the number of pounds of oranges Nick buys, with apples costing $1.29 per pound and oranges costing $1.35 per pound. Since Nick spends no more than $12, the correct inequality must express that the total cost of the apples and oranges is less than or equal to $12. Thus, the inequality that accurately represents this scenario is 1.29x + 1.35y ≤ 12. This ensures that the total amount spent on apples and oranges does not exceed Nick's budget of $12.