Answer:
Ques 1)
C) an exponential.
Ques 2)
B) be around 160
Step-by-step explanation:
Ques 1)
Day rat population|
1 4
12 20
21 43
26 68
28 86
29 105
30 129
31 156
Clearly we see that as the number of days increases the population of rat also increases.
Hence, the data shows a positive relationship.
Now we have to check the behavior of the relationship whether the increase is linear, exponential or parabolic.
When we plot these points in a regression calculator we see that the r² value is highest if the trend line is a exponential curve.
Hence, the data is best represented by a exponential curve.
Ques 2)
We get a exponential equation that represent this curve as:
[tex]y=3.9926e^{0.1141x}[/tex]
Hence, we are asked to find the value of y when x=32
Hence,
[tex]y=3.9926\times e^{0.1141\times 32}\\\\y=3.9926\times 38.5208633611\\\\y=153.7984[/tex]
Hence, the correct answer is:
B)be around 160
