Question

a taco stand sells tacos for $3.25 each the stands expenses for the day are $210. define your variables and write an inequality to represent the amount of taco they need to sell per day to make a profit, and then solve the inequality. provide your conclusion as a complete sentence.

Answer 1

since they need to make more than 210 in sales, their sales must be greater than 210. the inequality would be 210<3.25T where T=number of tacos

Answer 2

Let x be the amount of taco they sell per day,

Given,

The price of each taco = $ 3.25,

Thus, the price of x tacos = 3.25x dollars

Since, Expenses = $ 210,

So, for making the profit,

The price of x tacos > $ 210,

⇒ 3.25x > 210

Which is the required inequality that shows the the amount of taco they need to sell per day to make a profit.

For solving this inequality divide each sides by 3.25,

We get,

x > 64.62 ( approx ),

Hence, the amount of taco must be exceed to about 64.62 to make the profit.