Question

I need help, please and thxs!!!!

Answer 1

Explanation:

Answer 2

The birch tree needs 12 years

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=(7)/(2)`

The equation is:

`\displaystyle d=(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=(7)/(2)t`

`\displaystyle t=42*(2)/(7)`

t = 12 years

The birch tree needs 12 years