Question

The graph shows the profit, y, of a community fundraiser, with respect to the number of tickets sold, x. Use the graph to complete each statement. Drag and drop the answers into the boxes.

Answer 1

Answer:

Y-intercept =  -700

Y-intercept represents the initial amount of  expenses

Step-by-step explanation:

As we can see that the graph cut the x -axis at (35, 0) and y -axis at (0, -700)

Equation of line for two points $(x_1 , y_1)$ and $(x_2, y_2)$ is given by:

$y-y_1 = m (x-x_1)$;     ....[1] , . where m is the slope given by  

m = $\frac{y_2-y_1}{x_2-x_1}$

For the points (0 , -700) and (35 , 0)

First calculate the slope:

m = $\frac{y_2-y_1}{x_2-x_1} = \frac{0-(-700)}{35-0} = \frac{0+700}{35} = \frac{700}{35} = 20$

Now, substitute the value of m = 20 in [1];

we have

$y-(-700)=20 (x-0)$

Simplify:

$y+700= 20x$

or

$y =20x -700$ ; where x is the number of ticket sold and y is the profit of a community fundraiser.                    ......[2]

To find the y-intercept;  

Y-intercept: The y-intercept of the line is the value of y at the point where the line crosses the y axis.

therefore,

y intercept = -700             [ As the graph cut the y-axis at y =-700]

The y-intercept represents the initial amount of expenses.

Answer 2

Answer:

-700 and The initial amount of expenses.

Step-by-step explanation:

I just took the test and this is the correct answer. -700 because the line starts on -700 and the initial amount because it is going up slanted not just up straight or to the right straight.