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spayn [35]
4 years ago
15

When you own a pet, there are one-time costs, such as a leash, and continuing costs, such as food. Suppose the one-time costs fo

r owning a small dog are $180, and the continuing costs are $400 per year Which function models the average annual cost of owning a small dog for x years?
Mathematics
2 answers:
Natalka [10]4 years ago
6 0

Answer:

Average cost per year = 400 + 180/x

Step-by-step explanation:

Using the formula y=mx+b

We know that b is the y intercept or  initial value.  That would be the start up costs

m is the slope on costs each time x increases, that would be 400 per year

Costs = 400x + 180

To find the average cost per year, we need to divide by x

Average cost per year = (400x + 180)/x

                        = 400 + 180/x

Komok [63]4 years ago
3 0

Answer:

answer to this question is f(x)  = (180 + 400x)/x

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Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
Ruby buys 24 books and 5 pens.she pays with a 500 rupee note and get rs90 as change.shania bought 12 books and 10 pens for rs280
just olya [345]

The cost of one pen is Rs 15.

<h3>How to find the cost of one pen?</h3>

It is given that Ruby paid with a 500 rupee note and got Rs 90 back.

This means that she spent 410 rupees.

Therefore the cost of 24 books and 5 pens is Rs 410.

Let the cost of books be x and the cost of pens be y.

Therefore, we can form the following equations:

24x + 5y = 410                   (1)

12x + 10y = 280                   (2)

We have to find the value of y.

Multiply the second equation by 2:

24x + 20y = 560                   (3)

Now subtract the first equation from the third equation:

24x + 20y - 24x - 5y = 560 - 410

15y = 150

y = 15.

The variable y represents the cost of one pen.

This means that the cost of one pen is Rs 15.

Therefore, we have found that the cost of one pen is Rs 15.

Learn more about solving a system of equations here: brainly.com/question/13729904

#SPJ4

7 0
2 years ago
Plz help me with this question ASAP!!<br><br> Thank you so much brother<br><br> Plz answer fast
sasho [114]

Answer:

give more than 5 points and maybe you'll get help

7 0
3 years ago
What is the equation?
klasskru [66]

Answer:

f(x) = 2(x + 3)²

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

<em>a</em> is vertical shrink/stretch

<em>b</em> is horizontal shrink/stretch

<em>h</em> is horizontal movement left/right

<em>k</em> is vertical movement up/down

<em>h, k</em> is vertex

Step 1: Define variables

h = -3

k = 0

a = 2

Step 2: Write quadratic

f(x) = 2(x + 3)²

7 0
4 years ago
ANYONE WHO ANSWERS THIS GETS BRAINIEST!! THANK YOU!!! :)
Vlad [161]

Answer:

B;3

Step-by-step explanation:

That is because to complete the box you need the sum to subtract from one of the addends to be able to find the other and

28.42-24.72=3.7

Hope this helps:)

4 0
3 years ago
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