Can someone help me with this question please
1 answer:
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Answer:
The exponential function best models the data for the given table.
Step-by-step explanation:
Given : The table showing the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
We have to find which function best models the data for the given table.
Consider the given data in the table.
We first plot the data using Expo- regression calculator (as shown in attachment)
Since, The the estimate number of bees deceases with increasing number of days ,thus the data represents an exponential decay over time.
Thus, The exponential function best models the data for the given table.
And the equation of model is given as
Where y represents the estimate number of bees
and x represents the number of days.
We have been given the function
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
Now, we simplify this step by step.
First of all . Thus, we have
Now, we can easily simplify it by PEMDAS
Therefore, the value of f(3) is 98.