<PRE><B>Question 750473</B>
1. The junior prom committee brought in $6300 through ticket sales last year. This year they
had hoped to increase attendance by lowering the ticket price by $3. They ended up selling 48 more tickets for a total of $5970.
a. What was the original price per ticket?
h = # of tix at higher price
p = higher price
h*p = 6300
(h+48)*(p-3) = 5970
h = 6300/p
(6300/p + 48)*(p-3) = 5970
(6300 + 48p)*(p-3) = 5970p
(2100 + 16p)*(p-3) = 1990p
16p^2 + 2052p - 6300 = 1990p
8p^2 + 31p - 3150 = 0
*[invoke solve_quadratic_equation 8,31,-3150]
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p = $18 (original price)
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b. How many tickets were sold at the lower price?
Tix at $18 = 6300/18 = 350
350 + 48 = 398 at the lower price
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2. When Raj shined his flashlight on the wall at an angle, it made an ellipse with a vertical major axis of 34 inches and a horizontal minor axis of 18 inches. Let the center of the ellipse be the origin of a coordinate system. Find an equation for the edge of the ellipse.
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18/2 = 9
34/2 = 17
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{{{x^2/9^2 + y^2/17^2 = 1}}}
{{{x^2/81 + y^2/289 = 1}}}</PRE>