Mathematics High School

A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each Find the equation of the form P(n)=mn+b that gives the price P they can charge for n thousand shirts.

Answers

Answer 1

Answer:

[tex]P(n)=-2n+75[/tex]

Step-by-step explanation:

Let n represent the number of shirts in thousands and P represent the charge per shirt. n is the independent variable and P is the dependent variable.

Since 3000 shirts sell for $69 each, this can be represented as (3, 69). Also 7000 shirts sell for $61 each, this can be represented as (7, 61).

The equation showing the relationship is gotten using:

[tex]P-P_1=\frac{P_2-P_1}{n_2-n_1}(n-n_1) \\\\P-69=\frac{61-69}{7-3} (n-3)\\\\P=-2(n-3)+69\\\\P=-2n+75\\\\P(n)=-2n+75[/tex]

Related Questions

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

Find the area of the figure below

Answers

Answer:

26.0 in

Step-by-step explanation:

area = half base ×height

base=13÷2

=6.5

height=4

6.5×4

=26

What is the slope of a parallel to the graph?

Answers

Answer:

3

Step-by-step explanation:

slopes in parallel are equal

Please help!!!!! I will give brainliest!!!! Find the area

Answers

Answer:

30 m

Step-by-step explanation:

Ryan worked 40 hours last week. He had $74 deducted from his earnings for taxes. If he had $286 left after the deduction, whats the equation for this?​

Answers

$360/40 hours correct

Help Me, Now! E. The Siblings need to save $1,150. At what week will they have enough between both accounts? Week 1, Week 2, Week 3, Or Week 4?​

Answers

Theres not enough info

A local theater is selling tickets for a play. Student tickets cost $4.50 and adult tickets cost $7.50 each. The theater can hold at most 800 people and would like to make at least $3000.
Write a system of inequalities

Answers

the question was which combination could they make to get at least $3000

any combination they make if they have 800 people they will always have more than $3000

We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean

Answers

Answer:That would be mean

The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.

PLEASE HELP!!!! WHOEVER ANSWERS FIRST WILL BE MARKED BRAINLIEST!!!

Answers

Answer:

The answer is A.

Step-by-step explanation:

All you have to do is find the slope, which is given in the question and then count it and see what line goes with the slope you were given.

1/3 is the slope so count that to check your work, and it works out :)

Find the area of the shaded region. Round your answer to the nearest tenth.

Answers

Answer: 2.5 or 2 1/2.

Step-by-step explanation:

Dave said that these triangles are similar. Is it false or true?

Answers

Answer:

false

Step-by-step explanation:

the sum of the angles is 180, for the first triangle B is 180-(60+79)= 41°. and for the second F = 180-(60+42) = 72°. therefore they're not equal / similar.

How many 3/8 does it take to make 3/2 ?

Answers

Answer: four

Step-by-step explanation:

Answer: It takes 4 to make 3/2

if The quotient of three times a number and 4 is no more than 13.

Answers

Answer:

3x + 4 ≤ 13

Step-by-step explanation:

Best one gets brainly

Answers

i think that it would be a

Answer: The answer is B>3 so if you don't have one with an open circle and going right then the answer is a , but the correct answer would be an open circle to the right or 3

Step-by-step explanation:

373 students went on a field trip. Seven buses were filled and 16 students traveled in cars. How many
students were in each bus (b)? The variable should always go in the first term.

Answers

Answer: 35

Step-by-step explanation:

Answer:

There were 54 children in each bus.

Step-by-step explanation:

Pls help find the surface area

Answers

Answer:

114

Step-by-step explanation:

17 + 8 = 25

25 ÷ 2 is for one triangle.

25 ÷ 2 = 12.5

12.5 x 4 = 50

(4, because there are 4 triangles)

Then, 8 x 8 is for the middle square, which is 64

64 + 50 = 114

So, The surface area is 114

YOU BE THE TEACHER Your friend determine whether the relation shown the mapping diagram is a Munction is your de Et yes Explain your reasoning B / 5 ETT y​

Answers

Fefecedecefec and ye among us imposter I think answer is g

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Given the slope of the line containing the points (7 , b) and (-2 , 5) is 4/9, find the value of b​

Answers

Answer: b=9

Step-by-step explanation: To find the slope we use: y2-y1/x2-x1

Which would then be: 5-b/-2-7= 5-b/-9

Then we have to find a number for b that would give us -4 as the numerator. That number would be 9

This would give us 4/9 which is the slope we already had.

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,340 ft Determine the​ flag's width and length if the length is 390 ft greater than the width.

Answers

Answer:

Step-by-step explanation:

L=W+390, W=L-390

P=2(W+L), P=2340

2(L-390+L)=2340

2L-390=1170

2L=1560

L=780ft

What is the y-intercept of line x = -8?

Answers

Answer:

There is no y-intercept.

Step-by-step explanation:

x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.

Sophia cut a piece of wood that measured 10.2inches but she was supposed to cut 16 inches what is the percent error

Answers

Answer: 35.80 %

Step-by-step explanation:

Given

Sophia mistakenly cut 10.2 inches

The actual cut should be 16 inches

[tex]\Rightarrow \% \text{error}=\dfrac{\text{Actual dimension-Faulty dimension}}{\text{Actual dimension}}\times 100\\\\\Rightarrow \% \text{error}=\dfrac{16-10.2}{16.2}\times 100=35.80\%[/tex]

need some help please

Answers

For your first one it’s definitely 94$

A circle whose center is (2,0) and passes through the point (-5,0).

Answers

Answer:

2791

Step-by-step explanation:

Yea

2179 because of da measurements

What is the factored expression

Answers

Answer:

i think its A.

Step-by-step explanation:

the answer is (9x+4)^2

100 POINTS!!!! Pleas answer ALL of these questions and SHOW YOUR WORK. If you don't answer all questions fully your answer will be reported : /
Please try your best! Thank you!!!!

Answers

Answer:

13.

p=$2000

t=5year

rate=2.5%

compound amount =p(1+r/100)^t

=2000(1+2.5/100)^5=$2262.8 is total balance

if prism A and B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units

Answers

Answer:

176cubic units

Step-by-step explanation:

a:b

6:11

a=96

6/11=96/x

6x=1056(96×11)

x=176 cubic units

question number four pls help I will mark brainiest​

Answers

I am not really sure but I think the answer is B

Solve this inequality:
16x - 33x < -12x + 30

A. x < -6
B. x > 6
C. x > -6

Answers

Answer:

x > -6.

Step-by-step explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

-17x + 12x < 30

-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).

3 m * 0 * 5 m = 0 what kind of property is this. PLS HURRY!

Answers

Answer: This kind of property is the multiplicative property of 0.

Answer:

The answer should be muiltpication Property

Step-by-step explanation:

Since its dealing with multipication of the number 0 then its multipication property if not then it might be associative property. Let me know if this helps

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