Answer:
Left-Most Box:
[tex]3\div 8\text{ and } \frac{1}{8}\text{ of } 3[/tex]
Middle Box:
[tex]=\frac{1}{3}\text{ of } 8\text{ and } =\frac{1}{3}\times 8[/tex]
Right-Most Box:
[tex]8+\frac{1}{3}\text{ and } 8\times 3[/tex]
Step-by-step explanation:
We know that 3 pounds of soil fills 8 flower pots.
Using this, we can find our answers to different questions.
Question 1:
We want to know how many pots of soil will fill 1 flower pot.
We know that 3 pounds of soil fills 8 pots. So, to find the amount of soil that fills 1 pot, we can divide 3 by 8:
[tex]3\div 8[/tex]
This is the same as multiplying by a fraction. Namely, is it also 1/8 of 3:
[tex]=\frac{1}{8}\text{ of } 3[/tex]
And these are all the choices for the first question.
Question 2:
We want to know how many pots we can fill with 1 pound of soil.
To find this, we can divide 8 pots by 3 to get the unit rate of pots to soil. So:
[tex]8\div3[/tex]
This is the same as 1/3 of 8:
[tex]=\frac{1}{3}\text{ of } 8[/tex]
Which is the same as 1/3 multiplied by 8:
[tex]=\frac{1}{3}\times 8[/tex]
And these are all of the possible choices.
Question 3:
The two remaining ones,
[tex]8+\frac{1}{3}\text{ and } 8\times 3[/tex]
Will go here.