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shepuryov [24]
3 years ago
10

The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

The equation which correctly relates x and y is y = 4x

Step-by-step explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • To find the value of k, use the initial values of x and y

∵ The variables x and y vary directly

→ Use the form of the equation above

∴ y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

∴ x = 13 and y = 52

→ Substitute them in the equation above to find k

∵ 52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

∴ 4 = k

∴ The value of k is 4

→ Substitute it in the equation

∴ y = 4x

∴ The equation which correctly relates x and y is y = 4x

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Juan has 20 books to sell. He sells the books for $15 each. The amount of money Juan makes from selling booka is represented by
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Answer:

Step-by-step explanation:

Juan has 20 books to sell. He sells the books for $15 each.

The range of the function is the set of all possible values of the dependent variable. The dependent variable here is the amount of money that is made and this amount depends on

the number of books, x sold

The amount of money Juan makes from selling books is represented by a fucntion. f(x)=15x

The maximum amount that can be made from 20 books at a rate of $15 each would be 20×15 = $300

The minimum amount that fan be made is $0 and this is when no book is sold. Let y = f(x). So the range is

0 lesser than or equal to y lesser than or equal to 300

6 0
3 years ago
Consider the hypothetical study described below. Based solely on the information​ given, do you have reason to question the resu
Bezzdna [24]

Answer:

B. ​Yes, there is reason. The TV audience might not be representative of the population.

Step-by-step explanation:

The question "Do you support new national mileage standards for​automobiles?" is asked to the TV audience.

Therefore those who will voted are the ones who are watching the TV show. We do not know the rate of people who do not watch TV or who do not watch that TV talk show in the population.

Thus the results cannot represent the whole population

7 0
3 years ago
What is the total amount that Mathews bank will receive after lending him 8000 for four years
marysya [2.9K]

Answer:

32,000

Step-by-step explanation:

5 0
3 years ago
Find the distance between the points (7,23) and (3,-3), rounded to the hundredths place​
Molodets [167]

Answer:

26.31

Step-by-step explanation:

Use distance formula

d = \sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} }  }

substitute in points and solve

d =  \sqrt{(7-3)^2 + (23-(-3))^{2} }

d = \sqrt{4^{2}+26^{2}  }

d = \sqrt{16 + 676}

d = \sqrt{692}

d = 26.30589288

d = 26.31 rounded

5 0
3 years ago
HELP ME OUT PLEASE!!!
ANTONII [103]

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

7 0
3 years ago
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