question 1-10 a coffee shops profit, y, is represented by the equation y = 2x - 50, where x is the number of…

question 1-10 a coffee shops profit, y, is represented by the equation y = 2x - 50, where x is the number of days the shop is in business. select the statement that is justified by the equation for the coffee shops profits. the point (10, 30) represents a profit of $30 after 10 days. the point (10, -30) represents a debt of $30 after 10 days. the point (0, 25) represents the point where the company is neither in debt nor profitable. the point (0, -50) represents the point where the company is neither in debt nor profitable.

Answer

Explanation:

Step1: Analyze the profit - equation

The profit equation is $y = 2x-50$, where $x$ is the number of days and $y$ is the profit.

Step2: Evaluate the points

For the point $(0, - 50)$: Substitute $x = 0$ into the equation $y=2x - 50$, we get $y=2\times0 - 50=-50$. This means when $x = 0$ (at the start, 0 days of business), the profit is - 50, which is a debt.
For the point $(0,25)$: Substituting $x = 0$ into $y = 2x-50$ gives $y=-50\neq25$, so this point is not on the line of the profit - equation.
For the point $(10,-30)$: Substitute $x = 10$ into $y=2x - 50$, we have $y=2\times10-50=20 - 50=-30$. This represents a debt of $30$ after 10 days.
For the point $(10,30)$: Substitute $x = 10$ into $y=2x - 50$, we get $y=2\times10-50=-30\neq30$, so this point is not on the line of the profit - equation.

Answer:

The point $(10, - 30)$ represents a debt of $30$ after 10 days.