Mathematics, 25.09.2019 02:30 Kcmayo6019

The number of pounds in a bag of flour varies
directly with the number of ounces. write a direct
variation equation that describes the relationship.
use your equation to determine the number of
pounds in 152 ounces.
the number of nencils for sale varies directly with th

Answers: 3

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Answer from: jpsaad00

Part 5)

a) $y=\frac{1}{16}x$

b) $y=9.5\ pounds$

Part 6)

a) y=50x

b) $y=700\ pencils$

Step-by-step explanation:

The complete questions in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Part 5) The number of pounds in a bag of flour varies directly with the number of ounces. Write a direct variation equation that describes the relationship. Use your equation to determine the number of pounds in 152 ounces.

Part a) Write a direct variation equation that describes the relationship

Let

x ------> number of ounces

y ----> number of pounds

Observing the graph we have

The point (16,1)

$x=16\ ounces$

$y=1\ pounds$

Fin the value of the constant of proportionality k

k=y/x

substitute the values

$k=\frac{1}{16}\frac{pounds}{ounce}$

The equation of the direct variation is

$y=\frac{1}{16}x$

Part b) Use your equation to determine the number of pounds in 152 ounces

we have

$y=\frac{1}{16}x$

For $x=152\ ounces$

substitute the value of x in the equation and solve for y

$y=\frac{1}{16}(152)$

$y=9.5\ pounds$

Part 6) The number of pencils for sale varies directly with the number of boxes. Write a direct variation equation that describes the relationship. Use your equation to determine the number of pencils in 14 boxes.

Part a) Write a direct variation equation that describes the relationship

Let

x ------> number of boxes

y ----> number of pencils

Observing the graph we have

The point (1,50)

$x=1\ box$

$y=50\ pencils$

Fin the value of the constant of proportionality k

k=y/x

substitute the values

$k=\frac{50}{1}=50\frac{pencils}{box}$

The equation of the direct variation is

y=50x

Part b) Use your equation to determine the number of pencils in 14 boxes.

we have

y=50x

For $x=14\ boxes$

substitute the value of x in the equation and solve for y

y=50(14)

$y=700\ pencils$

The number of pounds in a bag of flour varies directly with the number of ounces. write a direct var

Answer from: Quest

don't know what that says sorry i can't you

step-by-step explanation:

idk what it says

Answer from: Quest

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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