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WITCHER [35]
3 years ago
13

The graph of a proportional relationship contains the point (20, 4).

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0

Answer:

y=\frac{1}{5}x

Step-by-step explanation:

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

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

In this problem we have

point (20,4)

Substitute the values and solve for k

k=y/x

k=\frac{4}{20} =\frac{1}{5}

therefore

the equation of the line is equal to

y=\frac{1}{5}x


kodGreya [7K]3 years ago
3 0

Answer:

y = \frac{1}{5}x

Step-by-step explanation:

Direct proportionality states:

if y \propto x

then, the equation is in the form of:

y = kx ......[1] where, k is the constant of proportionality.

As per the statement:

The graph of a proportional relationship contains the point (20, 4).

Substitute these point in [1] we have;

4 = 20x

Divide both sides by 20 we have;

\frac{1}{5} = k

or

k=\frac{1}{5}

Therefore, the corresponding equation is:

y = \frac{1}{5}x

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So basically right down the graph coordinates for each one for example H is (-4,-1) and just write the opposite for it so H' is (4,1) does that makes sense?

8 0
2 years ago
The marked price of an article is 30% above it's selling price and the cost price is 35%less than it's marked price. find the di
SashulF [63]

Answer:

Let C be the cost price of the article. Then:

C(1+30%)=marked price

So:

C(1+30%)=C(1.3)

=1.3C

If the article is then marked down 35%, then its’ price would be:

1.3C(1–35%)=1.3C(.65)

=0.845 or 84.5% of its’ cost

Then:

0.845–1=-0.155

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8 0
3 years ago
Help please. <br> Give the slope of y - 3 = 4(x + 8) and a point on the line
Sauron [17]
-----------------------------------------------------------
Make y the subject :
-----------------------------------------------------------
y - 3 = 4(x + 8)      
y - 3 = 4x + 32           // Apply distributive property
y = 4x + 35                // Add 3 to both sides

-----------------------------------------------------------
Identify Slope : 
-----------------------------------------------------------
Slope = 4

-----------------------------------------------------------
Find a point on the line :
-----------------------------------------------------------
When x = 0, 
y = 4(0) + 35              // Sub x = 0 into the equation 
y = 35                         // Combine like terms
Point = (0, 35)

-----------------------------------------------------------
Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
-----------------------------------------------------------
4 0
3 years ago
Karl bought 3 and 1/2 gallons of milk that cost $2.70 per gallon.
Vesna [10]

Answer:

9.45

Step-by-step explanation:

3.5 x 2.7 = 9.45

5 0
3 years ago
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At a fast food burrito restaurant, customers ask servers to add particular ingredients to their burrito. One popular ingredient
Gnesinka [82]

25 ounces of guacamole are still expected to be available from batch.

Step-by-step explanation:

Given,

Quantity of guacamole in one serving = 2.2 ounces

Quantity of guacamole in one batch = 80 ounces

Quantity of guacamole in 25 servings = 2.2*25 = 55 ounces

Guacamole left = Quantity in batch - Quantity of 25 servings

Guacamole left = 80-55 = 25\ ounces\\

25 ounces of guacamole are still expected to be available from batch.

Keywords: multiplication, subtraction

Learn more about subtraction at:

  • brainly.com/question/1234767
  • brainly.com/question/1238144

#LearnwithBrainly

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