Question

I need help, please and thxs!!!!

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The birch tree needs 12 years

Step-by-step explanation:

Proportional Relationship

Two variables t and d are proportional if they have the relationship described by the equation:

d = kt

Where k is the constant of proportionality.

From the graph on the question, we recognize the proportionality of the age of a birch tree and its diameter because the line passes through the origin (0,0). To find the equation, we need to recognize a clear point on the graph. We select the point (2,7). Substituting in the equation:

7 = 2k

Thus:

$k=\frac{7}{2}$

The equation is:

$\displaystyle d=\frac{7}{2}t$

For the birch to have a diameter of d=42 inches, the time needed can be calculated by solving the equation:

$\displaystyle 42=\frac{7}{2}t$

$\displaystyle t=42*\frac{2}{7}$

t = 12 years

The birch tree needs 12 years