Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Chapter Test
Continue to next subchapter

Exercise 13 Page 97

Use a verbal model to write an inequality.

Inequality: x-155≥ 250
Solution: x≥ 405 dollars

Practice makes perfect

Let's start by reviewing a few of the key words used in this exercise.

  • Expenses: Money spent to run the business.
  • Revenue: All the money earned at the business.
  • Profit: The revenue minus any of the expenses (actual money we get to keep).

We start a business and in the first month we want to make a profit of at least $250. This means that the profit has to be greater than or equal to $250. Profit ≥ 250 Let x be the revenue. Recall that the profit can be found by subtracting the expenses from the revenue. We are told that the expenses of the first month are $155. Knowing this, we can rewrite our inequality. x-155 ≥ 250 Let's solve this inequality!

x-155 ≥ 250
x-155+155 ≥ 250+155
x≥ 405

We need to have a revenue of $405 or more in order to make a profit of at least $250 in the first month.