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Kruka [31]
3 years ago
11

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi

s scenario? Show your work to find the rate of change and initial value. (6 points) Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0

Answer:

Step-by-step explanatio

i need points

n:

mamaluj [8]3 years ago
3 0

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: (0, 100) and (1, 80)

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{100-80}{0-1}=-20   $

Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

The initial value (100) represents the number of songs.    

Part B: Write an equation in slope-intercept form to model the relationship between x and y.

The Slope-intercept form of linear equations is y=mx+b

where, m is the slope and b is the y-intercept.

In this case, we have

y=-20x+100

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Alberto is a waiter. He waits on a table of 4 whose bill comes to $110.05. If Alberto receives a 15% tip, about how much will he
RSB [31]

If the total bill comes to $110.05, we know that we are going to have to take 15% of this for his tip.

So we convert 15% to a decimal by dividing by 100:

\frac{15}{100}=0.15

Then we multiply this by the amount of the bill:

110.05*0.15=16.5075

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Therefore, Alberto's tip will be about $16.51.

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gtnhenbr [62]
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8.8 or 9% sales tax

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Divide up the number 480 in a 3:5 ratio.
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Step-by-step explanation:

Hers your answer friend

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What is the y-intercept of the function f(x)=4 – 5x?<br><br> –5<br> –4<br> 4<br> 5<br> Answer: 4
yKpoI14uk [10]

Answer:

(0,4)

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Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

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The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

Learn more on diagonals of a parallelogram

brainly.com/question/17920093

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