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umka2103 [35]
2 years ago
12

Part 1) A school is selling tickets to a play. Tickets cost $12 at the door and $8.50 if purchased in advance. The school has a

goal of selling at least $1050 worth of tickets to Saturday's show. Write an inequality modeling the amount of tickets sold at the door (d) and purchased in advance (a) that they must sell.
Part 2) If the school sold 36 tickets in advance, what is the minimum number of tickets that it must sell in order to make $1050?
Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Tickets cost $12 at the door, number of tickets d
  • Tickets cost $8.50 if purchased in advance, number of tickets a
  • Minimum target from tickets sold $1050
<h3>Part 1</h3>

<u>Required inequality to meet the goal:</u>

  • 12d + 8.5a ≥ 1050
<h3>Part 2</h3>

<u>If a = 36 then minimum value of d:</u>

  • 12d + 36*8.5 ≥ 1050
  • 12d + 306 ≥ 1050
  • 12d ≥ 1050 - 306
  • 12d ≥ 744
  • d ≥ 744/12
  • d ≥ 62

Minimum 62 tickets must sell

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Answer:

y = - \frac{4}{5} x + \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

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3 years ago
Find the percent of change when the price of a radio changes from $40.00 to $44.00.
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Step-by-step explanation:

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What is the average rate of change for 5/6 and 15/14
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Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points (x_1,y_1)\ and\ (x_2,y_2) is given as:

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