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Leno4ka [110]
1 year ago
12

Calculate the rate of change (slope) for the given line. 20 2 о

Mathematics
2 answers:
kati45 [8]1 year ago
8 0

Answer:

\sf slope =\dfrac{-3}{2}

Step-by-step explanation:

To find the slope, mark any two point on the line.

  (-2, 4)  ; (2 , -2)

\sf x_1 = -2 ; \  y_1 = 4 \\\\x_2 = 2 ; \ y_2 = -2 \\\\ \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}

           \sf = \dfrac{-2-4}{2-[-2]}\\\\=\dfrac{-6}{2+2}\\\\=\dfrac{-6}{4}\\\\=\dfrac{-3}{2}

ruslelena [56]1 year ago
8 0

Answer:

Slope is equal to -3/2.

Step-by-step explanation:

Finds two points on an exact point. For the case of demonstration, I'll use (2, -2) and (0, 1).

Now, you can either use a formula, or do the rise-over-run method. For the formula, it would be (y2 - y1) / (x2 - x1) = slope.

For this example, the equation would be (1 - (-2) / (0 - 2). Cancel out the negatives in the numerator, and you'd get (3) / (-2). This is equivalent to -3/2.

For the rise over run method, you count how many units it goes down and over. Using the same points, to get from one to the other, you need to go down three units and to the right to. Since we're decreasing, the three is negative. The "rise," or whatever increase/decrease it is, will go in the numerator, while the "run" will go in the denominator.

This would also get you -3/2. Ask your teacher whether or not they're fine with the rise-over-run method, because a few teachers require algebraic use.

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YOU DONT HAVE TO DO ALL IF YOU DONT WANT TO JUST DO WHAT YOU CAN
Vikki [24]

Answer:

(Warning) Not sure this is completley correct but this is just what I did.

Part A

Does the data for Amit’s puppy show a function? Why or why not?

It does show a function because it passes the vertical line test (no two points have the same x value).

Part B

Is the relationship for Amit’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Nonlinear because the line isn’t straight

Part C

Is the relationship between Amit’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

Increasing because it is gaining weight

Part D

Does the data for Camille’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value

Part E

Is the relationship for Camille’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

It is a linear function because the line has no curve, and the line is constant.

Part F

Is the relationship between Camille’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

Increasing because as the puppy gets older it gains weight.

Part G

Does the data for Olivia’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value. The graph attached ( which shows the data for Camille’s puppy), that each x-value (Weeks) has a unique y-value (Weight in pounds).

Therefore, based on this and keeping in mind the explanation before, you can conclude that the data for Camille’s puppy shows a function.

Part H

Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response

Yes, it linear because it’s a straight line.

Part I

Is the relationship for Olivia’s puppy’s weight in terms of time increasing or decreasing? Explain your response. Increasing. For every week that goes by, Olivia's puppy is gaining one pound. 6-5= 1  14-13= 1. Gaining a pound every week makes the puppy’s weight increase.

Part J

Which two relationships have a y-intercept and a constant rate of change?

They all have y-intercepts and only Olivia and camilles have a constant rate of change.

Part A

To compare the linear functions, you first need to find their equations. For each of the linear functions, write an equation to represent the puppy’s weight in terms of the number of weeks since the person got the puppy.

Linear equation, y=mx+b

Exponential equation, y=a(b)×

Part B

Now you can compare the functions. In each equation, what do the slope and y-intercept represent in terms of the situation?

The y-intercept in the situation is 2/6.

Part C

Whose puppy weighed the most when the person got it? How much did it weigh?

Olivia’s puppy, it weighed 5 pounds

Part D

Whose puppy gained weight the slowest? How much did it gain per week?

Olivia’s puppy gained weight the slowest because it started off with more weight but only gained around 1 pound every week.

Part E

You can also graph the functions to compare them. Using the Edmentum Graphing Tool, graph the two linear functions. Paste a screenshot of the two functions in the space provided. How could you find which puppy had a greater initial weight from the graph? How could you find which puppy gained weight the slowest?

The edmentum graphing tool is opening up I tried it more than once but, the linear graphs would be Camille puppy and olivia's. And I could tell which one had a greater weight by how much they had at week 1 and how much they gained the weeks later. I could find which puppy gained weight the slowest by looking at the weight gained and graphed.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If anyone can give me the answer that will be greatly appreciated :)
vfiekz [6]

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

3 0
2 years ago
Evans dog weighs 63 pounds. Oxanas dog weighs 9 pounds. How much more does evan’s dog weigh than oxanas dog?
natima [27]

Answer:54pounds

Step-by-step explanation:63-9=54

7 0
3 years ago
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What is 0.0825 as a precent and as a fraction?
dsp73
8.25% (decimal) and 33/400 (fraction)
6 0
3 years ago
GCF And LCM of 24, 36, 45
faltersainse [42]

Answer:

Step-by-step explanation:

First lets prime factorize each number

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

45 = 3 x 3 x 5

GCF = 3    (3 is the only common prime number factor in the 3 numbers)

LCM = 2 x 2 x 2 x 3 x 3 x 5

        = 24 x 3 x 5

        = 72 x 5

        = 360

Happy to help :)

4 0
3 years ago
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