The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Answer:y= -2/5x-3
Step-by-step explanation:
It's actually pretty simple, all you gotta do is flip the fraction around so if it is 5/2x now is 2/5, and then change the sign, since it was positive now it's negative
D and E. If I remember right that should be the answer.
Answer:
Step-by-step explanation:
X+Y = 13
$18 + $22 = $258
OR
18X+22Y=258
18X + 22(13 - X) = 258
18X + 286 - 22X = 258
286 - 4X = 258
-4X= 258 - 286
-4X = -28
X= 7
Y=6
7 of the X tour packages & 6 of the Y tour packages
Answer:
<h2>3x - y + 7 = 0</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:
<em>subtract 7 from both sides</em>
<em>divide both sides by (-2)</em>
We have the equation:
Convert it to the general form 
:
<em>subtract 3x and 7 from both sides</em>
<em>change the signs</em>
