Question

Your friend is starting a small business baking and decorating cakes and wants to make a profit of at least $250 for the first month. The expenses for the first month are $155. What are the possible revenues that your friend can earn in order to meet the profit goal?

Answer 1

Answer: The revenue can be $405 or it can be larger than this value.

In short, the revenue must be at least $405.

======================================

Explanation:

Let R be the possible revenue. We want the profit to be at least $250, so we want the profit to be 250 or more

Recall that profit is equal to revenue minus expenses, so

Profit = Revenue - Expenses

Profit = R - 155

The expression R - 155 represents the profit (R is just a placeholder for a number). We want R - 155 to be 250 or larger, so,

$R - 155 \ge 250$

$R - 155 \ge 250$

$R - 155+155 \ge 250+155$ add 155 to both sides

$R \ge 405$

As long as the revenue is $405 or higher, then the profit will be at least $250