2. A local t-shirt company sold 2000 t-shirts two weeks ago when they charged $10 for each shirt. The following week they sold 1120 t-shirts when they raised the price to $19 per shirt. Assuming that this rate of change continues find the following: a. Find a linear function S(p) that models the number of shirts sold as a function of the price p. b. Explain the meaning of the slope In terms of the problem. c. Predict the number of shirts the store would sell if they charged $25 for each shirt. d. If the store would like to maintain a weekly sales level of 1450 shirts how much should they charge per shirt?

Answers

Answer 1

9514 1404 393

Answer:

  a) S(p) = -97.78p +2977.78

  b) about 98 fewer shirts per week will be sold for each $1 increase in price

  c) 533 shirts per week

  d) $15.63

Step-by-step explanation:

a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  s = (1120 -2000)/(19 -10)(p -10) +2000

  s = -97.78(p -10) +2000

  S(p) = -97.78p +2977.78

__

b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.

__

c) S(25) ≈ 533

At a price of $25, the store would sell about 533 shirts per week.

__

d) 1450 = S(p) = -97.78p +2977.78

  -1527.78 = -97.78p

  15.625 = p ≈ 15.63

The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.


Related Questions

A: 49
B: 33
C: 57
D: 16

Answers

Answer:

d

Step-by-step explanation:

i believe its 49 - 33= answer bc 49=49

Answer:

16°

Step-by-step explanation:

The two angles are vertical, meaning that they are the same

33 + 16 = 49

I need help with solving this​

Answers

Answer:

x=12

.......................

There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teacher knows the following information:
90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A
How many parent volunteers are needed to go on the trip?

Answers

Answer:

18

Step-by-step explanation:

Fifth grade has 80 students and sixth grade has 80 students. so if you get 90% of both then you have 72 and 72. Add and divide by 8 and you have the answer of 18 parent volunteers going.

Answer:

18 pls give brainliest i never get them :(

Step-by-step explanation:

Find the value of x

Please help

Answers

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

pleas help me the question is the image below

Answers

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPTAnswer:

Step-by-step explanation:

(Urgent) Worth 10 points 7.3

Answers

Step-by-step explanation:

A straight line adds up to 180°

m+3m=180°

4m=180°

m=45°

3m=45°

angle CBD=3(45)

=135°

The answer is 135 hope that helps!

The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters​

Answers

Answer:

22

actual answer was 21.99

HELP!!! DUE IN 8 MINS!! ​

Answers

Answer:

Step-by-step B. is your answer

explanation:

This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)

Answers

Answer:

i would say $148.80

Step-by-step explanation:

tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.

Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)

Answers

Answer:

384 ft²

Step-by-step explanation:

12x16x2=384

math come help plese

Answers

Answer:

74

Step-by-step explanation:

The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?

Answers

Answer:

$121.05

Step-by-step explanation:

Answer:

$121.05

Step-by-step explanation:

Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.

-4--7=n cual es el valor de n ​

Answers

The answer is -11

-4 - -7 = -11

Question 7 (3 points) Write this decimal division as equivalent whole number division. 19.05 ÷ 1.5 = ÷ Find the quotient.

Answers

Answer:

~12.7~

Step-by-step explanation:

hope this helps brainlest!

I’ll give 35 points and brainliest answer asap please it’s due tomorrow

Answers

Answer:

try 72.2

Step-by-step explanation:

surface area is 3.8x3.8x6

but minus one side is 3.8x3.8x5 = 72.2

Answer:

72.2 square meters

Step-by-step explanation:

multiply the length by the width

3.8 x 3.8 = 14.44

in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides

14.44 x 5 = 72.2

Please help I’ll give brainalist + 10 points to whoever helps and get this 100% right

Answers

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

Answer:

∠m = 140°

Step-by-step explanation:

∠1 and ∠m are adjacent angles, so they add up to 180°.

∠1 + ∠m = 180

40 + ∠m = 180

∠m = 180 - 40

∠m = 140°

Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =

Answers

< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6

Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me

Answers

Answer:

is a d :) for a 20y

Step-by-step explanation:

7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *

7x+8y+5x+3(y+1)

a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3

A. Associative Property of Addition

B. Commutative Property of Addition

C. Combine Like Terms

D. Distributive Property​

Answers

Answer:

A. Associative property of addition

Step-by-step explanation:

The associative property is about the grouping of terms/numbers in parentheses in an equation.

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.

HELP!

Answers

Answer:

the IQR is 71

Step-by-step explanation:

the Xl is 99 and the Xu is 170. Xu-Xl=71

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?

A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3

Answers

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

in a school of 40 students 10% are boys. How many boys are there

Answers

Answer:

4boys

Step-by-step explanation:

40 of 10% 40×10/100 =4 remember percentage is always over 100

Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
What is the difference between 75 and 55

Answers

Answer:

C 0.60km

I hope this answer helps if you have any questions just ask

4.

What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)

Answers

Answer:

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Step-by-step explanation:

Given

[tex]sin\ A = \frac{2}{4.5}[/tex]

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\ A = \frac{AC}{AB}[/tex]

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by 50% off and apply a %7.1 tax to the total cost of all three shirts. Including the tax, what will be the mean cost of each shirt?

Answers

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

Answer:

the answer is $44.49

Step-by-step explanation:

:))

please help me with this math project (photo linked). (7th grade unit 3) check my other questions plsss (last one)

Answers

1.  -3x - 17

2. -24x + 25

3. 2x + 4

4. -9x -9

5. 7x - 2

Help

solve 2x+4=10

Brainliest

Answers

❤️ The answer is attached

achievements.

Answer:

x=3

Step-by-step explanation:

2x+4=10

subtracting both side by 4.

2x+4-4=10-4

2x=6

x=6/2=3

Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?

Answers

Answer:

Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

Together:

2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?

Answers

Answer:

-0.04x +17.2

Step-by-step explanation:

Louis has a bag of 2510 shells each pen shell is 18 cm long what is the combine length of the pen shells in meters

Answers

Answer:

45180cm

Step-by-step explanation:

You have to multiply the amount of shells by the length on one shell to get the length of all of them combined so, 2510 multiplied by 18 is 45180.

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