The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.

Which type of function best models the relationship between the number of days and the inventory remaining?

The Owner Of A Retail Store Is Tracking His Inventory For An Annual Report. The Graph Shows The Remaining

Answers

Answer 1

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

Answer 2

The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

What is linear function?

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ [tex]30 = m(14) + b...(i)[/tex]

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒[tex]65 = 2m + b..(ii)[/tex]

From equation (i) and (ii)

[tex]m = \frac{-35}{12}[/tex]

and [tex]\frac{50}{3}[/tex]

Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]

Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

Learn more about linear function here:

https://brainly.com/question/21107621

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Related Questions

Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )

Answers

Answer:

g(g(- 4)) = - 16

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained back into g(x)

g(- 4) = 2(- 4) = - 8 , then

g(- 8) = 2(- 8) = - 16


Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.

Answers

Answer:

150 + 3x = 369 X= 73

Step-by-step explanation:

X is the amount of days

So 150 minus 369 would be 219

Then take 219/3 and that would mean X equals 73

Can someone help me with this question it's my last question I will give you a brain list just help me I will really appreciate it thank you :)

Answers

Answer:

I have attached my answer below.

Step-by-step explanation:

Sorry, I was not able to do the last one as I don't know how to do it.

Hopefully this helps!!

2q+6=12. 2q=6. Q= plz help me

Answers

Answer:

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Step-by-step explanation:

2q+6=12

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Hope this helps :)

Answer:

Well this is common algebra

So you want to isolate the variable so in this case you subtracted 6 on both sides.

Now you jsut divide both sides by 2 which is 2q/2=q

6/2=3

q=3


What are the values of m and n

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]m = 60 \degree[/tex]

[tex]n = 30 \degree[/tex]

Refer to attachment for solution ~

In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat

Answers

Answer:

2 minutes

Step-by-step explanation:

700/10 = 70

1 minute = 70 times

140/70 = 2 minutes

Answer:

2 minutes

Step-by-step explanation:

The heart beats 70 times per minute so 70+70=140.

M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link

Answers

Answer:

y = kx+b

Step-by-step explanation:

use dis

1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly

Answers

Answer:

maybe 4

Step-by-step explanation:

Answer:

So 1/2 divided by 1/8 in simplest form is 4

Step-by-step explanation:

[tex]\frac{1}{2}/\frac{1}{8}[/tex]

You use the rule of Keep Change Flip when dividing fractions

You keep the 1/2

Change the division sign to multiply

Flip 1/8 to 8/1

[tex]\frac{1}{2} * \frac{8}{1}[/tex]

Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]

Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]

I need some help with this one I'm lost!

Answers

Answer:

-334

Step-by-step explanation:

tyes sfdfa d

Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE

Answers

Step-by-step explanation:

no, it does not.

because almost every valid value of x (from -3 to +3) has 2 associated result values of y.

like x = 0 has y = 3 and y = -3.

but for a function there can be only ONE associated y value for every valid x value.

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

(correct the error below!)

first term =4
common difference =8
tenth term =4 +10(8) = 84

Answers

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

[tex]a_n = a_1 + d(n-1)[/tex]

Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:

[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]

The tenth term is 76

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.

A bird flying 45 feet above a river dives
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Answers

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Answers

Plug 4 in for x. 2(4)^2 - 3 which equals 29

Answer:

[tex]f'(4)=16[/tex]

Step-by-step explanation:

First, we need to find the derivative:

[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]

[tex]f'(x)=4x[/tex]

Now, we need to plug in 4 for x:

[tex]f'(4)=(4)(4)=16[/tex]

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10/25 x 10

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{10}{25}[/tex] × 10

[tex]\frac{100}{25}[/tex]

4

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A part of a wall that Melinda paints in 1 minute is: x = 1/80

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Answer:

k=28

Step-by-step explanation:

8
Drag and drop the correct angle measures onto the diagram:
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Step-by-step explanation:

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Step-by-step explanation:

Number line fractions

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Step-by-step explanation:

-7/4 is -1.75 which means its right before -2

11/4 is 2.75 which means it's right before 3

Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)

Answers

Answer:

y - 2 = -1/3 (x + 3)

Step-by-step explanation

Sorry!

 Point-slope form )

Slope = (-1 -2)/(6 - (-3)

Slope = -3/9

Slope = -1/3

 Using the point-slope formula and point (-3, 2)

y - 2 = -1/3(x - (-3)

y - 2 = -1/3 (x + 3)  This is = to y = -1/3(x + 3) +2

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108 ft square

Step by step

5x8 is 40

3x4 is 12 x 1/2 is 6.

Again, 3x4 is 12 x 1/2 is 6

8x4 is 32

8x3 is 24

Add that all tigether and its 108

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Tom is 43yo and Tim is 36

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Step-by-step explanation:

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B

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Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24

answer? and how would I answer this.

Answers

Answer:

x = -6

Step-by-step explanation:

Combine like terms.

5x + 6 = -24

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Divide by 5 on both sides.

x = -6

Easy!

Follow Me:-

[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]

Hope This Helps

[tex](8+0+-2²-7)²+7[/tex]

Answers

[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]

ok done. Thank to me :>

are the lines in the figure parallel, perpendicular, or neither?

Answers

Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

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Answers

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Step-by-step explanation:

The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?

Answers

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

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subtract 14 from each side to get:

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subtract 1.5c from each side to get:

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if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package

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