A park ranger creates a statistical model to estimate how many trees in a forest are affected by a certain type of insect damage. The model is given by y = 3 + 0.015x

Question

𝑦

=

3

+

0.015
𝑥
where 𝑥 represents the number of trees inspected. Use the model to estimate how many trees are affected out of 400 trees.(1 point)
Responses

7 affected trees
7 affected trees

9 affected trees
9 affected trees

6 affected trees
6 affected trees

15 affected trees

Answer 1

To estimate how many trees are affected using the given model \( y = 3 + 0.015x \), we will substitute \( x = 400 \) (the number of trees inspected) into the equation.

\[ y = 3 + 0.015(400) \]

First, calculate \( 0.015 \times 400 \):

\[ 0.015 \times 400 = 6 \]

Now, substitute this value back into the equation:

\[ y = 3 + 6 = 9 \]

So, according to the model, out of 400 trees inspected, 9 affected trees are expected.

Therefore, the correct response is:

9 affected trees.