A taco stand sells tacos for $3.25 each. The stand’s expenses for the day are $210. Define your

variables and write an inequality to represent the amount of tacos they need to sell per day to
make a profit, and then solve the inequality. Provide your conclusion as a complete sentence.

If they sell x tacos, the profit for the day is

3.25x - 210

So, set that > 0 and solve for x.

Let's define the variables to solve this problem.

Let's say the number of tacos sold per day is represented by "x".

To find the inequality representing the amount of tacos they need to sell per day to make a profit, we need to consider the expenses and revenue.

Revenue is calculated by multiplying the price of each taco by the number of tacos sold. In this case, the revenue can be written as 3.25x.

To make a profit, the revenue should be higher than the expenses. So, the inequality can be written as:
3.25x > 210

To solve this inequality, we can divide both sides of the inequality by 3.25:
x > 210 / 3.25

Calculating this, we get approximately x > 64.615.

So, the taco stand needs to sell more than approximately 64.615 tacos per day to make a profit.

Conclusion: The taco stand needs to sell more than approximately 64.615 tacos per day in order to make a profit.

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