A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)
We can recognize any points of the graph.
(0,80000) ; (10,50000)
Given:
<span>y -50,000 =______(x -10)
We need to find the slope.
Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000
The slope is equal to -3000. Choice A.
</span><span>y -50,000 = -3,000(x -10)</span>
The two inequalities formed will be:
One for ticket quantity:
x + y ≤ 600
One for funds generated via tickets:
5x + 7y ≥ 3500
Equating x to 330,
5(330) +7y ≥ 3500
y = 265
Checking if the other inequality holds true:
330 + 265 ≤ 600
595 ≤ 600
This inequality is still true so they can sell 265 tickets on the event day and cover their expenses.
Answer:
To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.
Step-by-step explanation:
