Question

Someone help please

Answer 1

Answer:the tree with be 80 years old but i dont know a

Explanation:

20x4 because 6x4 is 24 inches you multiply 20 x 4

Answer 2

`\textsf{ Constant of variation }=\sf (3)/(10) \textsf{ or } 0.3`

The tree is 80 years old.

Explanation:

Given:

Diameter 1 = 6 inches 20 years later

Diameter 2 = 24 inches 204years later

For a:

Let "k" be the constant of variation:

The constant of variation (k) can be calculated using the initial data:

`\begin{aligned} k &\sf = \frac{\textsf{Diameter }}{ Age} \\\\ &\sf \textsf{Substituting value}\\\\&\sf = (6)/(20)\\\\&\sf = (3)/(10) \textsf{ or } 0.3 \end{aligned}`

Therefore,

`\textsf{ Constant of variation is } (3)/(10) \textsf{ or } 0.3`

For b:

In order to determine the age of the tree, we can set up a proportion using the given information.

`\sf \frac{\textsf{ Diameter 1 }}{\textsf{ Age 1 }}= \frac{\textsf{ Diameter 2 }}{\textsf{ Age 2 }}`
Substituting value

`\sf (6 )/(20 )= \frac{24 }{\textsf{ Age 2 }}`

Now, solve for Age 2 by criss-cross multiplication:

`\sf \begin{aligned} \textsf{Age 2 }&\sf =( (20 *24) )/(6 )\\\\&\sf = (480)/(6) \\\\&\sf = 80 \end{aligned}`

So, when the tree is 24 inches in diameter, it will be 80 years old.