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hoa [83]
2 years ago
8

A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation

giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)

b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million
Mathematics
1 answer:
egoroff_w [7]2 years ago
5 0

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

y = 0.033*x + 1.269

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

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

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

a = \frac{1.7 - 1.5}{13 - 7} = 0.033

So the linear equation is something like:

y = 0.033*x + b

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269

Then the linear equation is:

y = 0.033*x + 1.269

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

y = 0.033*48 + 1.269 = 2.853

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

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Answer:

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Step-by-step explanation:

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4 0
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Jenny's bakery sells carrot muffins at 2 dollars each. The electricity to run the over is over 120 dollars per day and the cost
g100num [7]

Answer:

200 muffins

Step-by-step explanation:

The selling price of each muffin = $2

The cost price of each muffin = $1.40

The price of electricity = $120

If the number of muffins that Jenny sells in a day is x, then, Jenny's total cost in a day is:

120 + (1.4 * x) = 120 + 1.4x

and the total sales earnings in a day for x muffins will be:

2 * x = 2x

To break even, the total costs in a day must equal to the total earnings. That is;

2x =  120 + 1.4x

Solving this:

2x - 1.4x = 120\\\\\\0.6x = 120\\\\\\x = 120/0.6\\\\\\x = 200

She must sell 200 muffins in a day to break even.

7 0
3 years ago
The proof that ΔACB ≅ ΔECD is shown. Given: AE and DB bisect each other at C. Prove: ΔACB ≅ ΔECD What is the missing statement i
GarryVolchara [31]

Answer:

The missing statement is ∠ACB ≅ ∠ECD

Step-by-step explanation:

Given two lines segment AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

Now to prove above two triangles congruent we need one more side or angle

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD


9 0
3 years ago
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If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers
katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

Radius = r

Height = 9

Cylinder 2:

Radius = 3r

Height = 9

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

Volume = \pi r^2h

For A:

V_A = \pi r^2*9

V_A = 9\pi r^2

For B:

V_B = \pi (3r)^2 * 9

V_B = \pi *9r^2 * 9

V_B = 9* 9\pi r^2

In (a): V_A = 9\pi r^2

So, we have ve:

V_B = 9*V_A

V_B = 9V_A

<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>

7 0
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