The area of a blackboard is 1 (1)/(3) square yards. a poster's area is (8)/(9) find the unit rate and explain in words what the unit rate means in the context of this probl…

Question

The area of a blackboard is


`1 (1)/(3)`
square yards. a poster's area is

`(8)/(9)`
find the unit rate and explain in words what the unit rate means in the context of this problem. is there more unit than one unit rate that can be calculated? how do you know


I NEED HELP PLS GIVE ME THE RIGHT ANSWER

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Answer 1

3/2

Explanation:

unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity so:

1.1/3= 3.1+1÷3=4/3

8/9÷4/3=3/2

Answer 2

There are 6 square yards of blackboard per 2 square yards per poster.

Explanation:

The unit rate refers to how many area units of the poster are in the blackboard.

To find this rate, we just have to divide the area of the blackboard by the area of the poster.

`B=1(1)/(3)=(4)/(3)`

Where
`B` represents the area of the blackboard in square yards.

`P=(8)/(9)`

Where
`P` represents the area of the poster.

Now, the ratio is

`r= (B)/(P)=(4)/(3) / (8)/(9)=(4)/(3) * (9)/(8)=(36)/(24)\\r=(6)/(4)=(3)/(2)=1.5`

This mean that the unit rate is 1.5, that is, there are 6 square yards of blackboard per 2 square yards per poster.