Simon is sending a fancy organic fruit basket to his grandmother for her birthday. Apples cost $3 each, and oranges cost $2 each. Simon must stay under his budget of $24 for the gift.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of applesy= the number of orangesChoices:(A) 3x + 2y > 24(B) 3x+2y≤24(C) 3x+2y≥24(D) 3x + 2y < 24
Q. Simon is sending a fancy organic fruit basket to his grandmother for her birthday. Apples cost $3 each, and oranges cost $2 each. Simon must stay under his budget of $24 for the gift.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of applesy= the number of orangesChoices:(A) 3x+2y>24(B) 3x+2y≤24(C) 3x+2y≥24(D) 3x+2y<24
Calculate Apple Cost: Determine the cost per apple and the number of apples Simon wants to buy. Apples cost $3 each, and the number of apples is represented by x. So, the total cost for apples is calculated by multiplying the cost per apple with the number of apples, which gives us 3x.
Calculate Orange Cost: Determine the cost per orange and the number of oranges Simon wants to buy. Oranges cost $2 each, and the number of oranges is represented by y. So, the total cost for oranges is calculated by multiplying the cost per orange with the number of oranges, which gives us 2y.
Combine Total Costs: Combine the total costs for apples and oranges to represent the total cost of the fruit basket. The total cost is the sum of the cost for apples and the cost for oranges, which is 3x+2y.
Apply Budget Constraint: Simon has a budget constraint that he must stay under, which is \$\(24\). Therefore, the inequality that describes this situation is that the total cost for apples and oranges must be less than or equal to \$\(24\). The inequality is \(3x + 2y \leq 24\).
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