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3 years ago

How can you tell if a graph is proportional

Mathematics

2 answers:

valkas [14]3 years ago

7 0

Answer:

Has a straight line (it can't curve) and it has to go through the origin.

Step-by-step explanation:

Basically its straight and going through origin.

marissa [1.9K]3 years ago

5 0

Answer:

The fractions you make from the coordinates on the graph is equal. If it is then the graph is proportional

Hope this helped

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If 1/3 of a factory is female and we want to sample workers at this factory, then approximately 1/3 of the sample should be fema

lilavasa [31]

I think the answer is true

6 0

2 years ago

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a

Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

$\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}$

This can also be represented with:

$\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}$

Therefore, we need to identify our variables.

In every relationship, there is a dependent variable and an independent variable.

The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

(200, 23)
(500, 35)

Now, we can name our coordinates. We use this system:

(x₁, y₁)
(x₂, y₂)

This means that we can name our points:

x₁ = 200
y₁ = 23
x₂ = 500
y₂ = 35

Revisiting the rate of change formula, we can insert these values.

$\displaystyle \frac{y_2-y_1}{x_2-x_1}$

$\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}$

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

$\bullet \ \ \ y = mx + b$

We already know m:

$\displaystyle \bullet \ \ \ \frac{1}{25}$

We also know x and y (we take them from of the coordinate pairs):

$\bullet \ \ \ x = 200$

$\bullet \ \ \ y = 23$

Now, we can substitute these values into the equation and solve for b.

$\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15$

Now, we can set up our linear equation.

$\displaystyle y = \frac{1}{25}x + 15$

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

$\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43$

Therefore, the price of 700 business cards is equal to $43.

3 0

3 years ago

What is the image point of (4, - 7) after a translation right 4 units and up 5 units?

ira [324]

Answer:

( 8, - 2 )

Step-by-step explanation:

6 0

3 years ago

I’m bored somebody plz talk to me

Molodets [167]

Answer:

hi, how are you?

Step-by-step explanation:

thanks for the free points, btw :)

4 0

3 years ago

Read 2 more answers

Solve for the roots in simplest form using the quadratic formula:

Softa [21]

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

3 0

3 years ago