Question

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

Answer 1

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)

Answer 2

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 $y=kx$

so

The linear equation is equal to

$y=(2/3)x$

The graph in the attached figure