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4 years ago

A refreshment stand makes 2 large servings of frozen yogurt from 3 pints. Add the line to the graph and write the equation.

Mathematics

2 answers:

kondor19780726 [428]4 years ago

5 0

Answer:

The graph is attached below

Step-by-step explanation:

A refreshment stand makes 2 large servings of frozen yogurt from 3 pints.

Equation of the line is y=mx+b

where m is the slope and b is the y intercept

2 large serving from 3 pints

So the servings over pints is 2/3

$slope = \frac{2}{3}$

The y intercept is (0,0). the value of b is 0

We got m=2/3 and b=0

The equation of the line is

$y=\frac{2}{3}x+0$

$y=\frac{2}{3}x$

Now make a table. Assume some number for x and find out y

x y

0 0

3 2

6 4

Now make a graph using points (0,0) (3,2) and (6,4)

nignag [31]4 years ago

4 0

Answer:

$y=(2/3)x$

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of pints

y----> the number of servings

For x=3 pints, y=2 servings

This is a proportional variation

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

The linear equation is equal to

$y=(2/3)x$

The graph in the attached figure

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Step-by-step explanation:

5 0

3 years ago

Write rule for the linear function in the table

ivann1987 [24]

The generic equation is:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = (0-1) / (4-3)
m = (- 1) / (1)
m = -1
The ordered pair is:
(xo, yo) = (4, 0)
Substituting values:
y-0 = -1 * (x-4)
y = -x + 4
Answer:
y = -x + 4
option 1

8 0

4 years ago

What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?

tensa zangetsu [6.8K]

First we need to find the slope:

Slope formula= $\frac{y2-y1}{x2-x1}$

Plug in your given values from the coordinate
Slope = $\frac{1-(-3)}{3-1}$

When we have 2 "-"'s together they turn into a + sign so we add.
Slope = $\frac{1+3=4}{3-1=2}$
Slope = $\frac{4}{2}$

Simplify (in this case divide) the slope:
Slope = $2$

slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept

So far we have:
y=2x+b

To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)

so we plug that in the equation
1=6+b

Now solve for b:
1=6+b
subtract 6 from both sides
b=-5

Final answer:
y=2x-5 (D)

8 0

4 years ago

When the outlier are removed how does the mean change

Margaret [11]

The mean increases when the outlier is removed

6 0

3 years ago

What number would represent the outlier in the following set of data?

STatiana [176]

Answer:

An outlier is the number that is much smaller or larger than the other numbers.

In this case it is 29 :)