The Butterfly Sanctuary uses the table below to determine the number of cubic yards needed to house a given number of butterflies.
Complete the equation below to show the relationship between the number of butterflies, b, and the cubic yards needed, y. Type your response into the box below.

42

step-by-step explanation:

256/6=42

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

y=foot

x=foram

a. easy, plug 17 for x and evaluage for y

y=0.860(17)+3.302

y=14.62+3.302

y=17.922 inches

b. rate of change is slope

y=mx+b

m=slope

so

rate or change is 0.860 inches per legnth of forarm

c. what data

d. it is a function

since it is 1st degree (no exponents greater than 1 on the placeholder), and it is not a vertical line

it is a function