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Zielflug [23.3K]
3 years ago
13

For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the

first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
The table shows their ticket sales with respect to the number of times they have increased the price of a ticket.

Ticket Price Increases 1 2 3 4 5 6
Ticket Sales $4,306.25 $4,375.00 $4,406.25 $4,400.00 $4,356.25 $4,275.00

Select the true statement.

A.
The independent variable is the ticket sales, and the dependent variable is the number of ticket price increases.
B.
The independent variable is the ticket sales, and the dependent variable is the ticket price.
C.
The independent variable is the ticket price, and the dependent variable is the ticket sales.
D.
The independent variable is the number of ticket price increases, and the dependent variable is the ticket sales.
Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

  D.  The independent variable is the number of ticket price increases, and the dependent variable is the ticket sales.

Step-by-step explanation:

The wording, "the table shows A <em>with respect to</em> B" means that "B" is the independent variable. Here, "B" is "the number of times they have increased the price of the ticket." That is ...

the independent variable is the number of ticket price increases

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Re-write the equation without the h component.
levacccp [35]

Answer:

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f(x) = 8(4)^x

Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

a^m/a^n = a^{m-n}

f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

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3 0
3 years ago
Catie is starting a babysitting business. She spends $26 on flyers for advertising. She has an initial fee of $5 and then $3 per
Olin [163]
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So lets make a chart(ish lol)

Hours         $$$
1                     3
2                     6
3                     9
4                    12
5                      15 
6                      18
7                      21
8                      24
9                      27 
10                     30
11                       33
To get atleast 31 dollars you need to work 11 hours.
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Hope this helped!

6 0
3 years ago
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Triss [41]

Answer:

x = -8

Step-by-step explanation:

5(x - 1) = -45

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add 5 to each side of the equation:

5x = -40

divide both sides by 5:

x = -8

8 0
3 years ago
Help please I am confused?
ELEN [110]

Answer:

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so your answer would be (6x+35)

Step-by-step explanation:

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3 years ago
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3 years ago
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