Question
The scatter plot shows the relationship between the number of coyotes and the number of rabbits on 20 different nature preserves in a state. The linear model shown is an approximate best fit line for the data, and it has the equation y = -4x + 60.
What does the model predict for y, the number of rabbits on a nature preserve with 8 coyotes? You can solve on paper or use the calculator and then enter your answer on Zearn.
x
y
0
4
8
12
16
20
0
20
40
60
80
100
Number of coyotes
Number of rabbits
y = -4x + 60
y =
What does the model predict for y, the number of rabbits on a nature preserve with 8 coyotes? You can solve on paper or use the calculator and then enter your answer on Zearn.
x
y
0
4
8
12
16
20
0
20
40
60
80
100
Number of coyotes
Number of rabbits
y = -4x + 60
y =
Answers
GPT-4o mini
To predict the number of rabbits (\(y\)) for a nature preserve with 8 coyotes (\(x = 8\)), we can substitute \(x = 8\) into the linear model equation \(y = -4x + 60\).
Here are the steps:
1. Substitute \(x = 8\) into the equation:
\[
y = -4(8) + 60
\]
2. Calculate \(-4(8)\):
\[
-4(8) = -32
\]
3. Add 60:
\[
y = -32 + 60 = 28
\]
Thus, the model predicts that on a nature preserve with 8 coyotes, there will be \(28\) rabbits.
So, the predicted number of rabbits (\(y\)) is:
\[
y = 28
\]
Here are the steps:
1. Substitute \(x = 8\) into the equation:
\[
y = -4(8) + 60
\]
2. Calculate \(-4(8)\):
\[
-4(8) = -32
\]
3. Add 60:
\[
y = -32 + 60 = 28
\]
Thus, the model predicts that on a nature preserve with 8 coyotes, there will be \(28\) rabbits.
So, the predicted number of rabbits (\(y\)) is:
\[
y = 28
\]