Insert 9 rational numbers between 3/7 and 4/8

0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.491, 0.492

Explanation:

3/7 = 0.428...
4/8 = 1/2 = 0.5

0.428 < x < 0.5

x = 0.429 to 0.499

But since we are only choosing 9 rational number:

Then we can pick some from 0.429 - 0.499.

The labels for  cost line will be at 5.5$, 11$  , 16.5 $ for 1,2 and 3 pounds of cherries respectively.

Step-by-step explanation:

Given:

A double line shows 4 pounds of cherries 22 dollars .

To Find:

Cost  for 1 pound ,2 pounds and 3 pounds of cherries.

Solution:

A double number line represents the two different quantities values and their relationship.

(Refer the attachment)

So 4 pounds corresponds  to 22 dollars.

the proportion is,

4:22

=1:22/4

i.e 1 pound corresponds to 22/4 dollars

1 pound =22/4

1 pound of cherry=5.5 dollars

Similar for 2 pounds

2pounds = 2*(22/4)

=2*5.5

=11 dollars

Now for 3 pounds

3 pounds =3*(22/4)

=3*5.5

=16.5 dollars.

The second number line will be allocated the points for 1,2 and 3 pounds of cherries as 5.5,11,16.5 respectively.