Micaela owns a food truck that sells tacos and burritos. She sells each taco for $3.50 and each burrito for $7.75. Micaela must sell no less than $760 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.Answer:
Q. Micaela owns a food truck that sells tacos and burritos. She sells each taco for $3.50 and each burrito for $7.75. Micaela must sell no less than $760 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.Answer:
Define Variables and Constraint: Define the variables and the constraint.Micaela sells tacos for $3.50 each and burritos for $7.75 each. She needs to make at least $760 in sales each day. Let t represent the number of tacos sold and b represent the number of burritos sold.
Write Inequality: Write the inequality based on the prices and the sales goal.The total sales from tacos and burritos must be at least $760. So, the inequality will be:3.50t+7.75b≥760
Check Representation: Check the inequality to ensure it represents the situation correctly.The inequality 3.50t+7.75b≥760 correctly represents the situation where t is the number of tacos sold, b is the number of burritos sold, and the total sales from both must be no less than \(\$\(760\)).
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