Question

Hi, it's Kayla! Could you please help me?

Answer 1

Answer:

B. r = 0.7h

Step-by-step explanation:

Try one of the table entries and see which equation works.

A: r = 0.7·0.3 - 0.3 = -0.09 . . . . no

B: r = 0.7·0.3 = 0.21 . . . . matches table

C: r = 0.3·0.3 = 0.09 . . . . no

D: r = 0.7·0.3 + 0.3 = 0.51 . . . . no

Answer 2

If a formula suits well the observed data, it has to become an identity every time you plug values for $h$ and $r$ taken from the table.

Option A

Let's plug the first row of the table in this equation:

$r=0.7h-0.3 \iff 0.21 = 0.7\cdot 0.3 - 0.3$

which is not true. So, this equation does not describe well our data

Option B

Let's plug the first row of the table in this equation:

$r=0.7h \iff 0.21 = 0.7\cdot 0.3$

which is true! Let's check the second row as well:

$r=0.7h \iff 0.35 = 0.7\cdot 0.50$

which is again true. You can go on like this for all the rows to find out that this is the correct option (and also that options C and D are not correct).