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

-700 and The initial amount of expenses.

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.

Answer 2

Y-intercept = -700

Y-intercept represents the initial amount of expenses

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 =
`(y_2-y_1)/(x_2-x_1)`

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

First calculate the slope:

m =
`(y_2-y_1)/(x_2-x_1) = (0-(-700))/(35-0) = (0+700)/(35) = (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.