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3 years ago

Which relation is a direct variation that contains the ordered pair (2, 7)?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

$y=\frac{7}{2}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a direct relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

step 1

Find the value of the constant of proportionality k

we have

the ordered pair (2, 7)

$k=\frac{y}{x}$ -----> $k=\frac{7}{2}$

therefore

The relation is

$y=kx$ -----> $y=\frac{7}{2}x$

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3 years ago

13. Jody is supplying his food truck for the week. He buys 32 pounds of pork and 50 pounds of chicken for a total of $185. He re

larisa [96]

Answer:

Pork is $1.75 per pound (x=1.75)

Chicken is $2.58 per pound (y=2.58)

Step-by-step explanation:

<u>Key skills needed for this problem: Linear Equations, Systems, Elimination</u>

1) Use x and y for the pork and the chicken and you will get 2 equations:

32x + 50y = 185
8x + 20y = 65.6

We can use elimination in this system.

2) To use elimination, we can multiply the 2nd equation by -4:

-4(8x + 20y) = 65.6(-4) becomes -32x-80y = -262.40

3) Next add both equations:

32x + 50y = 185

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-----------------------------

-30y = -77.4

y = $2.58

4) Next we can substitute the y value into one of the equations. I like the first one so I used that one ---> 32x + 50(2.58) = 185

50(2.58) is equal to 129 so ---> 32x + 129 = 185

-129 -129

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32x = 56

Divide by 32 and get x= $1.75

5) Therefore, It is $1.75 per pound of pork, and $2.58 per pound of beef.

<em>Hope you understood and have a nice day!! :D</em>

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3 years ago

The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile. What is th width, in miles, of th

wolverine [178]

Answer:

0.833 miles

Step-by-step explanation:

Because you know the area, you can use the formula for area of a rectangle. Just plug in what you know and solve.

$\frac{25}{54} = \frac{30}{54}w$

30/54 is the same as 5/9.

$(\frac{25}{54})54 = (\frac{30}{54}w)54$

Multiply by its denominator.

$25=30w$

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Divide by 30

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3 years ago