Since the population of deer decreases over time, the data is not best represented by an exponential model.
Looking at the data, it can be observed that the population follows a decreasing trend, suggesting a quadratic or linear relationship.
To determine if the data is best represented by a linear or quadratic model, let's examine the differences between consecutive population values:
Year 0 to 1: -20
Year 1 to 2: -17
Year 2 to 3: -13
Year 3 to 4: -10
The differences between consecutive values are not consistent, indicating that the data is not best represented by a linear model.
Therefore, the data is best represented by a quadratic model.
From the table, the equation to model the data is:
y = 0.8x^2 + 102
So, the correct answer is A. Quadratic; y=0.8x^2+102.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
This is the table :
Year Estimated Population
0 102
1 82
2 65
3 52
4 42
A. Quadratic; y=0.8x^2+102
B. Exponential; y=102 x 0.8^x
C. Quadratic; y =102x^2 +0.8x
D. Linear; y=0.8x+102
1 answer