You have $500 to start a chicken sandwich business. It costs you $2.75 to make a sandwich. Which inequality shows you staying under budget?(1 point) Responses 2.75x ≥ 500 with x = # of sandwiches 2.75x ≥ 500 with x = # of sandwiches 2.25x ≥ 500 with x = # of sandwiches 2.25x ≥ 500 with x = # of sandwiches 2,75x ≤ 500 with x = # of sandwiches 2,75x ≤ 500 with x = # of sandwiches 2,25x = 500 with x = # of sandwiches 2,25x = 500 with x = # of sandwiches Question 2
2.75x ≤ 500 with x = # of sandwiches
The correct inequality that shows you staying under budget is:
2.75x ≤ 500 with x = # of sandwiches
To determine the correct inequality that shows you staying under budget, you need to calculate the number of sandwiches you can make with your $500 and compare it to the cost per sandwich.
The cost per sandwich is $2.75, and you have $500. So, you need to divide $500 by $2.75:
500 / 2.75 = 181.82
Therefore, you can make approximately 181.82 sandwiches with your $500 budget.
Now, let's look at the answer choices:
1) 2.75x ≥ 500 with x = # of sandwiches - This inequality states that the total cost of the sandwiches (2.75 times the number of sandwiches) should be greater than or equal to $500. This is not the right answer because it does not represent staying under budget.
2) 2.25x ≥ 500 with x = # of sandwiches - Similar to the first option, this inequality also does not represent staying under budget.
3) 2,75x ≤ 500 with x = # of sandwiches - This inequality states that the total cost of the sandwiches (2.75 times the number of sandwiches) should be less than or equal to $500. This is the correct answer because it represents staying under budget.
4) 2,25x = 500 with x = # of sandwiches - This equation states that the total cost of the sandwiches (2.25 times the number of sandwiches) should be equal to $500. This is not the right answer because it does not allow for staying under budget.
Therefore, the correct inequality that shows you staying under budget is:
2.75x ≤ 500 with x = # of sandwiches (Option 3)