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patriot [66]
3 years ago
14

(a) What is the rate of change for each function? Show your work.

Mathematics
1 answer:
ikadub [295]3 years ago
7 0
First. You have to look at what kind of proportionality it is.It is an Inverse Proportion.so you see the rate of change is 2.3
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(a) How would you characterize the relationship between money spent on advertising and items sold?
Mashcka [7]

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

y= 1.6x+ 21.5

We put x = 30

y(30)= 1.6(30)+ 21.5\\y(30) = 69.5

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

y = mx + c

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

8 0
3 years ago
Some pleated draperies must be twice as wide as the window they cover. how many square yards of material are needed to cover thi
marusya05 [52]
The window is 2/3 yd by 1 yd, so its area is
.. area = length*width = (2/3 yd)*(1 yd) = 2/3 yd^2

Double that amount of material would be 4/3 yd^2 = 1 1/3 yd^2.
3 0
3 years ago
Read 2 more answers
Need help with this math question!​
In-s [12.5K]

Answer:

<h2>y = 51.2</h2>

Step-by-step explanation:

\dfrac{y}{32}=\dfrac{16}{10}\qquad\text{cross multiply}\\\\10y=(32)(16)\\\\10y=512\qquad\text{divide both sides by 10}\\\\\dfrac{10y}{10}=\dfrac{512}{10}\\\\y=51.2

5 0
3 years ago
PLEASE HELP ME ASAP! Giving brainliest<br> SHOW YOUR WORK FOR BOTH QUESTIONS
EleoNora [17]

Answer:

The Proof for question no 20 and 21 are below.

Step-by-step explanation:

20.

Given:

∠PTR≅∠RSP

PT ≅ RS

To Prove:

ΔPQT ≅ ΔRQS

Proof:

In ΔPQT and ΔRQS

Statements                    Reasons

1. ∠PTR ≅ ∠RSP       1 .Given

2. ∠PQT ≅ ∠ROS     2. Vertical Opposite Angle Theorem.

3. PT ≅ RS                3. Given

4. ΔPQT ≅ ΔRQS     4. By A-A-S Congruence Postulate ....Proved

21.

Given:

PO ≅ SO

O is the Mid Point of NT

To Prove:

∠N ≅ ∠T

Proof:

In ΔPON and ΔSOT

Statements                    Reasons

1. PO ≅ S O              1 .Given

2. ∠PON ≅ ∠SOT    2. Vertical Opposite Angle Theorem.

3. NO ≅ TO              3. O is the Mid Point of NT

4. ΔPON ≅ ΔSOT    4. By S-A-S Congruence Postulate

5. ∠N ≅ ∠T               5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved

3 0
3 years ago
Which fraction is 16/64 in lowest terms <br><br> PLEASE SHOW HOW U DID UR PROBLEM
stiks02 [169]

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

8 0
3 years ago
Read 2 more answers
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