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
Jessica has a budget of 100 for the week. She can spend 5 to cook a meal or 20 to eat at a restaurant. Based on this information which combinations are on the budget constraint? Select all that apply. D 12 cooked; 2 restaurants. 0 cooked; 20 restaurants. 20 cooked; 0 restaurants. Answer 2 Points
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Andrésprofessionell · Tutor durante 6 años
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To determine which combinations are on Jessica's budget constraint, we need to calculate the total cost for each combination and ensure it does not exceed her budget of $100.<br /><br />1. **12 cooked meals; 2 restaurants:**<br /> - Cost for cooked meals: \(12 \times \$5 = \$60\)<br /> - Cost for restaurants: \(2 \times \$20 = \$40\)<br /> - Total cost: \(\$60 + \$40 = \$100\)<br /><br />2. **0 cooked meals; 20 restaurants:**<br /> - Cost for cooked meals: \(0 \times \$5 = \$0\)<br /> - Cost for restaurants: \(20 \times \$20 = \$400\)<br /> - Total cost: \(\$0 + \$400 = \$400\)<br /><br />3. **20 cooked meals; 0 restaurants:**<br /> - Cost for cooked meals: \(20 \times \$5 = \$100\)<br /> - Cost for restaurants: \(0 \times \$20 = \$0\)<br /> - Total cost: \(\$100 + \$0 = \$100\)<br /><br />Now, let's check which combinations fit within the budget:<br /><br />- The first combination (12 cooked meals; 2 restaurants) totals \$100, which is exactly on the budget.<br />- The second combination (0 cooked meals; 20 restaurants) totals \$400, which exceeds the budget.<br />- The third combination (20 cooked meals; 0 restaurants) totals \$100, which is exactly on the budget.<br /><br />Therefore, the combinations that are on the budget constraint are:<br />- 12 cooked meals; 2 restaurants<br />- 20 cooked meals; 0 restaurants
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