The number of $0.50 increases to maximize the profit is X = 1.
First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:
P - Price of each ticket.
x - number of increases.
We know that the current price is $5.00, so:
After that, let's build a linear function which shows the number of tickets sold <u>for each</u> price increase:
T - number of tickets.
x - number of increases.
With all this done, we can finally build the quadratic function which represents the money earned:
M - money earned
Now, to finish, we only have to <u>calculate the value of X</u>(number of increases) which can give us the maximum value of this function:
the X coordinate for the maximum value of a quadratic is expressed by:
In our equation, b = 100 and a = - 50 :
Thus, the number of increases which <u>maximizes</u> the profit is 1.
Learn more about linear and quadratic functions in: brainly.com/question/4119784
Answer: 5/12
Step-by-step explanation:
The word "Mathematical" has 12 letters, and 5 of them are vowels.
Answer:
D
Step-by-step explanation:
3/4 everything else is a whole number
The correct answer is A. <span>The independent variable is the temperature of the water, and the dependent variable is the amount of sugar dissolved. The independent variable is the one that isn't affected by any of the other variables. The dependent variable is the one being studied, measured, and affected in the experiment. Obviously, Eman wants to measure the amount of sugar that dissolves in water.</span>
Answer:
Expression for perimeter of rectangle is:
Step-by-step explanation:
Width of rectangle is given as 
centimeters and
length of the rectangle is given as 
centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:
Where 
is the length of rectangle and
is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:
