Question

What is the answer to b?

Answer 1

Answer:  0.6 grams per cm

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Explanation:

Pick any column and divide the weight over the length

column 1:  9/15 = 0.6

column 2:  12/20 = 0.6

column 3:  18/30 = 0.6

column 4: 30/50 = 0.6

The weight per cm is 0.6 grams per cm

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Another way you could look at is like so

9 g = 15 cm

9/15 g = 15/15 cm

0.6 g = 1 cm

We divided both sides by 15 to turn "15 cm" into "1 cm". Think of "per cm" as "per 1 cm". This works for any other column as well.

Answer 2

Answer:

[See Below]

Step-by-step explanation:

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✦ To figure out the rule of this table you must Add, Subtract, Multiply, and Divide each line to find similarities.

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✧ Line 1:

• $15+9=24$

• $15-9=6$

• $15*9=135$

• $15$ ÷ $9=1.66r$

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✧ Line 2:

• $20+12=32$

• $20-12=8$

• $20*12=240$

• $20$ ÷ $12=1.66r$

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✧ Line 3:

• $30+18=48$

• $30-18=12$

• $30*18=540$

• $30$ ÷ $18=1.66r$

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✧ Line 4:

• $50+30=80$

• $50-30=20$

• $50*30=1500$

• $50$ ÷ $30=1.66r$

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So with this, we can conclude that each line has a similarity when we did:

• $cm$ ÷ $g$

• $=1.66r$ (Repeating)

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So the weight per $cm$ is $1.66$ or $g*1.66r$.

~Hope this helps Mate. If you need anything feel free to message me.