describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

Answers

Answer 1

Answer: If the ratio of x/y or x/y is always the same constant, then a and y are directly proportional and the constant is called the constant of proportionality.

If the product of xy is always the same constant, then a and y are inversely proportional and the constant is called the constant of proportionality.

unit rates --- are like any rate found by dividing --- like speed --- miles per hour unit means 1 and this is miles traveled in one hour (at constant speed) --- so you just divide --- traveling 100 miles in 2 hours = 50 miles in 1 hour --- 50 miles per hour --- miles/hour <<< that is a unit rate

slope is a rate of change --- on an x-y coordinate axis graph the slope is the rate of change of y compared to a change in x --- this is not necessarily a unit rate ... slope of 2/3 means a change of 2 for y will create a change of 3 for x (not a change of 1, so it is not a unit rate)

Answer 2

Answer:

Answer:

Table of Values: The ratio of (Y) to (X) gives the unit rate and slope.

Equation: If the equation can be written as y=mx, then m is the unit rate and the slope.

Graph: When the line passes through the origin, the slope of the graph gives the unit rate and the slope.

Step-by-step explanation:

you can just copy everything here, its in the teacher's book

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The length of a rectangle is 9 inches more than twice it’s width. If the perimeter of the rectangle is 48 inches find its length and width.

Answers

Answer:

$Length=19 inches\n\nWidth=5 inches$

Step-by-step explanation:

Let the width of the rectangle be 'w' inches

length of the rectangle= (2w+9) inches

Perimeter of the rectangle= 48 inches

Perimeter of a rectangle= 2(Length+Width)

$48=2((2w+9)+w)\n\n48=2(2w+9+w)\n\n48=2(3w+9)\n\n48/2=3w+9\n\n24=3w+9\n\n3w=24-9\n\n3w=15\n\nw=15/3\n\nw=5 inches$

$Width= 5 inches$

$Length=(2w+9)=2(5)+9=19 inches$

$Length=19 inches\n\nWidth=5 inches$

75 is what decimal part of 300

Answers

75 is 0.25 of 300. All I did was divide 300 by 75

Another way of saying that is 75/300 = 0.25

75 = x*300

75 = 300x

x = 300/75

x= .25

I hope that's help !

Two fifths of the fish in grays fish tank are guppies. One fourth of the guppies are red. What fraction of the fish in grays tank are red guppies?

Answers

it would be one fourth cause he tells you the fraction of how many guppies are red

I think it goes like this:
1/4 of 2/5= 2/20 or 1/10

It's asking what fraction are red guppies and it's telling us that 2/5 of the tank is made up of guppies and out of that 2/5, 1/4 of them are red. So you would have to figure out what 1/4 of 2/5 is to find out how many red guppies there are.

Estimate the unit rate to the nearest whole number. $74.75

Answers

The unitrate is $15.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

5 gal of paint = $74.75

The unitrate.

= 74.75 ÷ 5

= $14.95

= $15

Thus,

The unitrate is $15.

Learn more about unitrates here:

brainly.com/question/11258929

#SPJ2

$75.00 is the nearest whole number.

The regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′. Point A′ of the image coincides with point of the preimage. Point B′ of the image coincides with point of the preimage.

Answers

Answer:

The point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.

Step-by-step explanation:

It is given that regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′.

It means the central angle divided in 8 equal parts. The central angle between two consecutive vertices is

$(360)/(8)=45^(\circ)$

The regular octagon ABCDEFGH rotates 135º clockwise.

$A=F'$

$B=G'$

$C=H'$

$D=A'$

$E=B'$

$F=C'$

$G=D'$

$H=E'$

Therefore the point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.

Answer:

Point A' will coincide D and B' will coincide with E.

Step-by-step explanation:

In the figure attached we have regular octagon ABCDEFGH. It's a regular octagon means all it's sides are equal and central angle of one sector out of 8 sectors formed will be = $(360)/(8)=45$