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KonstantinChe [14]
2 years ago
6

The equation y = 155x + 110, 419 approximates the total cost in dollars, of raising a child in the United States from birth to 1

7 years given the household's annual income, X Approximately how much would it cost to raise a child in a household with an annual income of $62 ,500

Mathematics
1 answer:
faust18 [17]2 years ago
6 0

Answer: Third option.

Step-by-step explanation:

According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:

y = 1.55x + 110, 419

Where "x" represents the household's annual income in dollars.

Therefore, if the annual income is $62,500; you can identify that:

x=62 ,500

Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".

Through this procedure you get the following result:

y = 1.55(62 ,500) + 110, 419\\\\y=96,875+ 110, 419\\\\y=207,294

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Jet001 [13]

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx     ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

1=k(2)

\dfrac{1}{2}=k

Putting k=\dfrac{1}{2}, we get

y=\dfrac{1}{2}x

Therefore, the correct option is A.

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3 years ago
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $
alina1380 [7]

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

<em>Cost</em><em> of e-book = $5 each.</em>

<em>Cost of paperback = $12 each</em>

<em>Number of</em><em> e-books</em><em> = x</em>

<em>Number of paperbacks = y</em>

Therefore, the equation that can be used to model the situation regarding the <em>e-books </em>and <em>paperback</em> will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

brainly.com/question/25212173

5 0
2 years ago
If anyone could help that would be great / right answer gets brainilest
Keith_Richards [23]
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7 0
3 years ago
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A line passes through the points (-4, -3) and (2,6). Determine the slope of the line
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4 0
3 years ago
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If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
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