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

The graph is attached below

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 = (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=(2)/(3)x+0`

`y=(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

`y=(2/3)x`

The graph in the attached figure

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