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Serga [27]
3 years ago
8

The rate of change is constant in the graph Find the rate of change Explain what the rate of change means for the situation

Mathematics
2 answers:
Karolina [17]3 years ago
7 0

Answer:

The rate of of change is -100/3, or -33.33. This means that every year, the resale value of a refridgerator goes down by about $33.33

Step-by-step explanation:

rate of change formula : f(b)-f(a)/b-a

200-300/6-3

= -100/3

=-33.33

Westkost [7]3 years ago
5 0

The rate of change here, is the how much the value of the refridgerator increases per unit of time, in years. Since, the value of the fridge decreases, the rate of change is negative.

It is a linear graph i.e. the instantaneous rate of change and average rate of change are the same. Now, all you have to do is pick any two arbitrary points, preferably the x-intercept and y-intercept for simplicity and find the change in y and the change in x. The change in y and x will be the difference of the x and y coordinate of the points you chose. It does not matter which order you subtract in. Just remain consistent between your 2 points. The change in y is your rise, the change in x is your run. Slope is rise over run. So then divide.

Δy=400-0= $400

Δx = 0-12 = -12 yrs

Rate of change = rise/run = 400/(-12)=100/-3= -33.333 $/yrs

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Answer:

B

Step-by-step explanation:

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3 years ago
Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left
enot [183]

Answer:

y = -100x + 13000

Step-by-step explanation:

See attachment for graph

First, we need to take any corresponding values of x and y

(x_1,y_1) = (0,13000)

(x_2,y_2) = (130,0)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{0 - 13000}{130 - 0}

m = \frac{- 13000}{130}

m = -100

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 13000 = -100(x - 0)

y - 13000 = -100x

Make y the subject

y = -100x + 13000

Hence, the line equation is:

y = -100x + 13000

4 0
3 years ago
it is greater than 35 and less than 45. if you add the two digits, the sum is five. write the number word.
elena-14-01-66 [18.8K]

Let's call this number x.

35 < x > 45.

So if you add the 2 numbers you get 5. So there's.......

41 and well.... that's it? It must be the answer! The answer is 45.


3 0
4 years ago
The graph of which of the following equation has x-intercept of 3 and 0 ?
Hatshy [7]

Answer:

From the given graph , The equation y =  x² - 3 x has x-intercept of 3 , 0

Step-by-step explanation:

Given as :

Let The standard equation of line

y = m x + c

where m is the slope of line and c is  y-intercept

For, x-intercept , put y = 0

For y-intercept , put x = 0

A) y = x + 3

for x-intercept , y = 0

So, 0 = x + 3

i.e x = - 3

B) y = x² + 3 x

for x-intercept , y = 0

So, 0 = x² + 3 x

i.e 0 =  x² + 3 x

Or,  x ( x + 3) = 0

Or, x = 0 , x = - 3

C) y = x² - 3 x

for x-intercept , y = 0

So, 0 = x² - 3 x

i.e 0 =  x² - 3 x

Or,  x ( x - 3) = 0

Or, x = 0 , x =  3

D) x = y² - 3 y

for x-intercept , y = 0

So, x = 0 - 0

i.e x = 0

Hence, From the given graph , The equation y =  x² - 3 x has x-intercept of 3 , 0 Answer

8 0
3 years ago
Take a factor out of the square root:<br> sqrt(3y^2) , where y&lt;0
elena-s [515]

factor took out was y^2 , And resultant expression is  y\sqrt{3} .

<u>Step-by-step explanation:</u>

Here we need to Take a factor out of the square root:  sqrt(3y^2) , where y<0 .Let's do this :

The given expression is  sqrt(3y^2) or , \sqrt{(3y^2)}

We know that , to take out a factor out of the square root that factor must have a degree in multiple of 2 , as   x^2,x^4,x^16,(x+6)^2,(x-2)^4  etc . So ,

⇒ \sqrt{3y^2}

⇒ \sqrt{3}(\sqrt{y^2})

⇒ \sqrt{3}(y^2)^{\frac{1}{2}

⇒ \sqrt{3}(y)^{\frac{2}{2}

⇒ y\sqrt{3}

Therefore , factor took out was y^2 , And resultant expression is  y\sqrt{3} .

5 0
3 years ago
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