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:
<u>Equation: V = C * (1 - r)^t</u>
<u>Answer: $ 8,066.37</u>
Step-by-step explanation:
Let's recall that depreciation on a car can be determined by the formula:
V = C * (1 - r)^t , where:
V is the value of the car after t years,
C is the original cost
r is the rate of depreciation
t is the number of years of utilization of the car
Therefore, we have:
V = C * (1-r)^t
V = 15,500 * (1 - 0.07)⁹
V = 8,066.37 (rounding to the next cent)
Answer:
12 yds and 6 feet, aka 42 feet.
Step-by-step explanation:
You multiply everything by 3. Then you convert yards to feet, then add everything together.
Answer:
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
This is the equation of the line in slope intercept form
where
The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
