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Lesechka [4]
3 years ago
7

Your school is hosting a play and tickets are being sold for $10 each the cost to rent the nearby theater and costumes is $450 a

n addition the printers are charging $1 for a ticket to print the tickets what is the least number of tickets your school must sell to make a profit?
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

51

Step-by-step explanation:

450 < 10x - 1x

450 < 9x

50 < x

you must sell 50 tickets to break even; 51 to make a profit

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Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

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3 years ago
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